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Finding the Fourth Proportional to 549,704.80, 824,557.20 and 470,972.80

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Solution

The fourth proportional to 549,704.80, 824,557.20 and 470,972.80 is: 706,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,704.80 : 824,557.20 = 470,972.80 : x
  2. Step 2: Convert to fraction form
    549,704.80/824,557.20 = 470,972.80/x
  3. Step 3: Cross multiply
    549,704.80x = 824,557.20 × 470,972.80
  4. Step 4: Simplify right side
    549,704.80x = 388,344,013,244.16
  5. Step 5: Solve for x
    x = 388,344,013,244.16/549,704.80
  6. Step 6: Final answer
    x = 706,459.20

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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.