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Finding the Fourth Proportional to 549,578.80, 824,368.20 and 461,005.30

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Solution

The fourth proportional to 549,578.80, 824,368.20 and 461,005.30 is: 691,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,578.80 : 824,368.20 = 461,005.30 : x
  2. Step 2: Convert to fraction form
    549,578.80/824,368.20 = 461,005.30/x
  3. Step 3: Cross multiply
    549,578.80x = 824,368.20 × 461,005.30
  4. Step 4: Simplify right side
    549,578.80x = 380,038,109,351.46
  5. Step 5: Solve for x
    x = 380,038,109,351.46/549,578.80
  6. Step 6: Final answer
    x = 691,507.95

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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.