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Finding the Fourth Proportional to 349,207.60, 523,465.80 and 171,569.20

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Solution

The fourth proportional to 349,207.60, 523,465.80 and 171,569.20 is: 257,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,207.60 : 523,465.80 = 171,569.20 : x
  2. Step 2: Convert to fraction form
    349,207.60/523,465.80 = 171,569.20/x
  3. Step 3: Cross multiply
    349,207.60x = 523,465.80 × 171,569.20
  4. Step 4: Simplify right side
    349,207.60x = 89,810,608,533.36
  5. Step 5: Solve for x
    x = 89,810,608,533.36/349,207.60
  6. Step 6: Final answer
    x = 257,184.00

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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.