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Finding the Fourth Proportional to 474,191.13, 711,788 and 463,482.35

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Solution

The fourth proportional to 474,191.13, 711,788 and 463,482.35 is: 695,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,191.13 : 711,788 = 463,482.35 : x
  2. Step 2: Convert to fraction form
    474,191.13/711,788 = 463,482.35/x
  3. Step 3: Cross multiply
    474,191.13x = 711,788 × 463,482.35
  4. Step 4: Simplify right side
    474,191.13x = 329,901,174,941.80
  5. Step 5: Solve for x
    x = 329,901,174,941.80/474,191.13
  6. Step 6: Final answer
    x = 695,713.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.