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Finding the Fourth Proportional to 732,304, 1,010,594.88 and 414,352

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Solution

The fourth proportional to 732,304, 1,010,594.88 and 414,352 is: 571,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,304 : 1,010,594.88 = 414,352 : x
  2. Step 2: Convert to fraction form
    732,304/1,010,594.88 = 414,352/x
  3. Step 3: Cross multiply
    732,304x = 1,010,594.88 × 414,352
  4. Step 4: Simplify right side
    732,304x = 418,742,009,717.76
  5. Step 5: Solve for x
    x = 418,742,009,717.76/732,304
  6. Step 6: Final answer
    x = 571,814.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.