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Finding the Fourth Proportional to 713,834.52, 1,069,324.20 and 429,368

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Solution

The fourth proportional to 713,834.52, 1,069,324.20 and 429,368 is: 643,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,834.52 : 1,069,324.20 = 429,368 : x
  2. Step 2: Convert to fraction form
    713,834.52/1,069,324.20 = 429,368/x
  3. Step 3: Cross multiply
    713,834.52x = 1,069,324.20 × 429,368
  4. Step 4: Simplify right side
    713,834.52x = 459,133,593,105.60
  5. Step 5: Solve for x
    x = 459,133,593,105.60/713,834.52
  6. Step 6: Final answer
    x = 643,193.32

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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.