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Finding the Fourth Proportional to 549,924.70, 824,230.95 and 493,500.10

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Solution

The fourth proportional to 549,924.70, 824,230.95 and 493,500.10 is: 739,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,924.70 : 824,230.95 = 493,500.10 : x
  2. Step 2: Convert to fraction form
    549,924.70/824,230.95 = 493,500.10/x
  3. Step 3: Cross multiply
    549,924.70x = 824,230.95 × 493,500.10
  4. Step 4: Simplify right side
    549,924.70x = 406,758,056,248.10
  5. Step 5: Solve for x
    x = 406,758,056,248.10/549,924.70
  6. Step 6: Final answer
    x = 739,661.37

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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.