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Finding the Fourth Proportional to 678,320.80, 935,759.19 and 406,258

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Solution

The fourth proportional to 678,320.80, 935,759.19 and 406,258 is: 560,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,320.80 : 935,759.19 = 406,258 : x
  2. Step 2: Convert to fraction form
    678,320.80/935,759.19 = 406,258/x
  3. Step 3: Cross multiply
    678,320.80x = 935,759.19 × 406,258
  4. Step 4: Simplify right side
    678,320.80x = 380,159,657,011.02
  5. Step 5: Solve for x
    x = 380,159,657,011.02/678,320.80
  6. Step 6: Final answer
    x = 560,442.28

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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.