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Finding the Fourth Proportional to 470,957.70, 706,436.55 and 282,000.90

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Solution

The fourth proportional to 470,957.70, 706,436.55 and 282,000.90 is: 423,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,957.70 : 706,436.55 = 282,000.90 : x
  2. Step 2: Convert to fraction form
    470,957.70/706,436.55 = 282,000.90/x
  3. Step 3: Cross multiply
    470,957.70x = 706,436.55 × 282,000.90
  4. Step 4: Simplify right side
    470,957.70x = 199,215,742,892.90
  5. Step 5: Solve for x
    x = 199,215,742,892.90/470,957.70
  6. Step 6: Final answer
    x = 423,001.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.