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Finding the Fourth Proportional to 472,300.70, 709,833.45 and 411,475.10

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Solution

The fourth proportional to 472,300.70, 709,833.45 and 411,475.10 is: 618,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,300.70 : 709,833.45 = 411,475.10 : x
  2. Step 2: Convert to fraction form
    472,300.70/709,833.45 = 411,475.10/x
  3. Step 3: Cross multiply
    472,300.70x = 709,833.45 × 411,475.10
  4. Step 4: Simplify right side
    472,300.70x = 292,078,789,822.10
  5. Step 5: Solve for x
    x = 292,078,789,822.10/472,300.70
  6. Step 6: Final answer
    x = 618,417.02

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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.