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Finding the Fourth Proportional to 291,655.49, 402,526.28 and 164,342.93

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Solution

The fourth proportional to 291,655.49, 402,526.28 and 164,342.93 is: 226,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,655.49 : 402,526.28 = 164,342.93 : x
  2. Step 2: Convert to fraction form
    291,655.49/402,526.28 = 164,342.93/x
  3. Step 3: Cross multiply
    291,655.49x = 402,526.28 × 164,342.93
  4. Step 4: Simplify right side
    291,655.49x = 66,152,348,257.20
  5. Step 5: Solve for x
    x = 66,152,348,257.20/291,655.49
  6. Step 6: Final answer
    x = 226,816.74

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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.