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Finding the Fourth Proportional to 463,483.40, 695,225.10 and 147,963.40

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Solution

The fourth proportional to 463,483.40, 695,225.10 and 147,963.40 is: 221,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,483.40 : 695,225.10 = 147,963.40 : x
  2. Step 2: Convert to fraction form
    463,483.40/695,225.10 = 147,963.40/x
  3. Step 3: Cross multiply
    463,483.40x = 695,225.10 × 147,963.40
  4. Step 4: Simplify right side
    463,483.40x = 102,867,869,561.34
  5. Step 5: Solve for x
    x = 102,867,869,561.34/463,483.40
  6. Step 6: Final answer
    x = 221,945.10

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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.