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Finding the Fourth Proportional to 595,854.12, 822,543.75 and 354,214.92

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Solution

The fourth proportional to 595,854.12, 822,543.75 and 354,214.92 is: 488,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,854.12 : 822,543.75 = 354,214.92 : x
  2. Step 2: Convert to fraction form
    595,854.12/822,543.75 = 354,214.92/x
  3. Step 3: Cross multiply
    595,854.12x = 822,543.75 × 354,214.92
  4. Step 4: Simplify right side
    595,854.12x = 291,357,268,602.75
  5. Step 5: Solve for x
    x = 291,357,268,602.75/595,854.12
  6. Step 6: Final answer
    x = 488,974.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.