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Finding the Fourth Proportional to 574,569, 861,853.50 and 180,585

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Solution

The fourth proportional to 574,569, 861,853.50 and 180,585 is: 270,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,569 : 861,853.50 = 180,585 : x
  2. Step 2: Convert to fraction form
    574,569/861,853.50 = 180,585/x
  3. Step 3: Cross multiply
    574,569x = 861,853.50 × 180,585
  4. Step 4: Simplify right side
    574,569x = 155,637,814,297.50
  5. Step 5: Solve for x
    x = 155,637,814,297.50/574,569
  6. Step 6: Final answer
    x = 270,877.50

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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.