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Finding the Fourth Proportional to 473,656.95, 710,765.55 and 174,347.78

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Solution

The fourth proportional to 473,656.95, 710,765.55 and 174,347.78 is: 261,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,656.95 : 710,765.55 = 174,347.78 : x
  2. Step 2: Convert to fraction form
    473,656.95/710,765.55 = 174,347.78/x
  3. Step 3: Cross multiply
    473,656.95x = 710,765.55 × 174,347.78
  4. Step 4: Simplify right side
    473,656.95x = 123,920,392,189.15
  5. Step 5: Solve for x
    x = 123,920,392,189.15/473,656.95
  6. Step 6: Final answer
    x = 261,624.77

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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.