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Finding the Fourth Proportional to 710,311.32, 980,259.42 and 408,505.56

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Solution

The fourth proportional to 710,311.32, 980,259.42 and 408,505.56 is: 563,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,311.32 : 980,259.42 = 408,505.56 : x
  2. Step 2: Convert to fraction form
    710,311.32/980,259.42 = 408,505.56/x
  3. Step 3: Cross multiply
    710,311.32x = 980,259.42 × 408,505.56
  4. Step 4: Simplify right side
    710,311.32x = 400,441,423,312.38
  5. Step 5: Solve for x
    x = 400,441,423,312.38/710,311.32
  6. Step 6: Final answer
    x = 563,754.81

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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.