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Finding the Fourth Proportional to 282,415.40, 423,623.10 and 170,222.30

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Solution

The fourth proportional to 282,415.40, 423,623.10 and 170,222.30 is: 255,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415.40 : 423,623.10 = 170,222.30 : x
  2. Step 2: Convert to fraction form
    282,415.40/423,623.10 = 170,222.30/x
  3. Step 3: Cross multiply
    282,415.40x = 423,623.10 × 170,222.30
  4. Step 4: Simplify right side
    282,415.40x = 72,110,098,415.13
  5. Step 5: Solve for x
    x = 72,110,098,415.13/282,415.40
  6. Step 6: Final answer
    x = 255,333.45

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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.