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Finding the Fourth Proportional to 704,519.31, 972,242.16 and 414,052.89

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Solution

The fourth proportional to 704,519.31, 972,242.16 and 414,052.89 is: 571,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,519.31 : 972,242.16 = 414,052.89 : x
  2. Step 2: Convert to fraction form
    704,519.31/972,242.16 = 414,052.89/x
  3. Step 3: Cross multiply
    704,519.31x = 972,242.16 × 414,052.89
  4. Step 4: Simplify right side
    704,519.31x = 402,559,676,127.84
  5. Step 5: Solve for x
    x = 402,559,676,127.84/704,519.31
  6. Step 6: Final answer
    x = 571,396.23

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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.