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Finding the Fourth Proportional to 434,732.28, 648,931.68 and 402,678.24

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Solution

The fourth proportional to 434,732.28, 648,931.68 and 402,678.24 is: 601,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,732.28 : 648,931.68 = 402,678.24 : x
  2. Step 2: Convert to fraction form
    434,732.28/648,931.68 = 402,678.24/x
  3. Step 3: Cross multiply
    434,732.28x = 648,931.68 × 402,678.24
  4. Step 4: Simplify right side
    434,732.28x = 261,310,666,782.64
  5. Step 5: Solve for x
    x = 261,310,666,782.64/434,732.28
  6. Step 6: Final answer
    x = 601,084.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.