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Finding the Fourth Proportional to 532,970.28, 735,477.17 and 291,261.02

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Solution

The fourth proportional to 532,970.28, 735,477.17 and 291,261.02 is: 401,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,970.28 : 735,477.17 = 291,261.02 : x
  2. Step 2: Convert to fraction form
    532,970.28/735,477.17 = 291,261.02/x
  3. Step 3: Cross multiply
    532,970.28x = 735,477.17 × 291,261.02
  4. Step 4: Simplify right side
    532,970.28x = 214,215,825,587.22
  5. Step 5: Solve for x
    x = 214,215,825,587.22/532,970.28
  6. Step 6: Final answer
    x = 401,928.28

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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.