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Finding the Fourth Proportional to 473,557.64, 710,342.61 and 158,014.55

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Solution

The fourth proportional to 473,557.64, 710,342.61 and 158,014.55 is: 237,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,557.64 : 710,342.61 = 158,014.55 : x
  2. Step 2: Convert to fraction form
    473,557.64/710,342.61 = 158,014.55/x
  3. Step 3: Cross multiply
    473,557.64x = 710,342.61 × 158,014.55
  4. Step 4: Simplify right side
    473,557.64x = 112,244,464,313.26
  5. Step 5: Solve for x
    x = 112,244,464,313.26/473,557.64
  6. Step 6: Final answer
    x = 237,023.87

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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.