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Finding the Fourth Proportional to 385,242.16, 577,772.52 and 216,834.16

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Solution

The fourth proportional to 385,242.16, 577,772.52 and 216,834.16 is: 325,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,242.16 : 577,772.52 = 216,834.16 : x
  2. Step 2: Convert to fraction form
    385,242.16/577,772.52 = 216,834.16/x
  3. Step 3: Cross multiply
    385,242.16x = 577,772.52 × 216,834.16
  4. Step 4: Simplify right side
    385,242.16x = 125,280,819,045.28
  5. Step 5: Solve for x
    x = 125,280,819,045.28/385,242.16
  6. Step 6: Final answer
    x = 325,200.18

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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.