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Finding the Fourth Proportional to 437,547.60, 656,394.30 and 171,316.80

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Solution

The fourth proportional to 437,547.60, 656,394.30 and 171,316.80 is: 257,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,547.60 : 656,394.30 = 171,316.80 : x
  2. Step 2: Convert to fraction form
    437,547.60/656,394.30 = 171,316.80/x
  3. Step 3: Cross multiply
    437,547.60x = 656,394.30 × 171,316.80
  4. Step 4: Simplify right side
    437,547.60x = 112,451,371,014.24
  5. Step 5: Solve for x
    x = 112,451,371,014.24/437,547.60
  6. Step 6: Final answer
    x = 257,003.74

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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.