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Finding the Fourth Proportional to 282,417.71, 389,791.64 and 175,035.47

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Solution

The fourth proportional to 282,417.71, 389,791.64 and 175,035.47 is: 241,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,417.71 : 389,791.64 = 175,035.47 : x
  2. Step 2: Convert to fraction form
    282,417.71/389,791.64 = 175,035.47/x
  3. Step 3: Cross multiply
    282,417.71x = 389,791.64 × 175,035.47
  4. Step 4: Simplify right side
    282,417.71x = 68,227,361,398.10
  5. Step 5: Solve for x
    x = 68,227,361,398.10/282,417.71
  6. Step 6: Final answer
    x = 241,583.16

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1.5x scale

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.