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Finding the Fourth Proportional to 312,095.60, 430,691.77 and 176,158.07

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Solution

The fourth proportional to 312,095.60, 430,691.77 and 176,158.07 is: 243,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,095.60 : 430,691.77 = 176,158.07 : x
  2. Step 2: Convert to fraction form
    312,095.60/430,691.77 = 176,158.07/x
  3. Step 3: Cross multiply
    312,095.60x = 430,691.77 × 176,158.07
  4. Step 4: Simplify right side
    312,095.60x = 75,869,830,968.08
  5. Step 5: Solve for x
    x = 75,869,830,968.08/312,095.60
  6. Step 6: Final answer
    x = 243,098.05

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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.