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Finding the Fourth Proportional to 653,924.34, 902,386.80 and 382,017.42

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Solution

The fourth proportional to 653,924.34, 902,386.80 and 382,017.42 is: 527,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,924.34 : 902,386.80 = 382,017.42 : x
  2. Step 2: Convert to fraction form
    653,924.34/902,386.80 = 382,017.42/x
  3. Step 3: Cross multiply
    653,924.34x = 902,386.80 × 382,017.42
  4. Step 4: Simplify right side
    653,924.34x = 344,727,477,178.06
  5. Step 5: Solve for x
    x = 344,727,477,178.06/653,924.34
  6. Step 6: Final answer
    x = 527,167.22

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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.