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Finding the Fourth Proportional to 461,464.80, 691,030.80 and 302,834.40

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Solution

The fourth proportional to 461,464.80, 691,030.80 and 302,834.40 is: 453,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,464.80 : 691,030.80 = 302,834.40 : x
  2. Step 2: Convert to fraction form
    461,464.80/691,030.80 = 302,834.40/x
  3. Step 3: Cross multiply
    461,464.80x = 691,030.80 × 302,834.40
  4. Step 4: Simplify right side
    461,464.80x = 209,267,897,699.52
  5. Step 5: Solve for x
    x = 209,267,897,699.52/461,464.80
  6. Step 6: Final answer
    x = 453,486.15

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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.