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Finding the Fourth Proportional to 402,292.90, 564,784.70 and 402,292.90

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Solution

The fourth proportional to 402,292.90, 564,784.70 and 402,292.90 is: 564,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,292.90 : 564,784.70 = 402,292.90 : x
  2. Step 2: Convert to fraction form
    402,292.90/564,784.70 = 402,292.90/x
  3. Step 3: Cross multiply
    402,292.90x = 564,784.70 × 402,292.90
  4. Step 4: Simplify right side
    402,292.90x = 227,208,874,838.63
  5. Step 5: Solve for x
    x = 227,208,874,838.63/402,292.90
  6. Step 6: Final answer
    x = 564,784.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.