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Finding the Fourth Proportional to 433,834.70, 651,001.12 and 338,798.16

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Solution

The fourth proportional to 433,834.70, 651,001.12 and 338,798.16 is: 508,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,834.70 : 651,001.12 = 338,798.16 : x
  2. Step 2: Convert to fraction form
    433,834.70/651,001.12 = 338,798.16/x
  3. Step 3: Cross multiply
    433,834.70x = 651,001.12 × 338,798.16
  4. Step 4: Simplify right side
    433,834.70x = 220,557,981,547.45
  5. Step 5: Solve for x
    x = 220,557,981,547.45/433,834.70
  6. Step 6: Final answer
    x = 508,391.75

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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.