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Finding the Fourth Proportional to 538,133.77, 742,597.17 and 296,411.14

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Solution

The fourth proportional to 538,133.77, 742,597.17 and 296,411.14 is: 409,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,133.77 : 742,597.17 = 296,411.14 : x
  2. Step 2: Convert to fraction form
    538,133.77/742,597.17 = 296,411.14/x
  3. Step 3: Cross multiply
    538,133.77x = 742,597.17 × 296,411.14
  4. Step 4: Simplify right side
    538,133.77x = 220,114,073,720.47
  5. Step 5: Solve for x
    x = 220,114,073,720.47/538,133.77
  6. Step 6: Final answer
    x = 409,032.26

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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.