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Finding the Fourth Proportional to 357,419.53, 493,349.67 and 230,095.13

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Solution

The fourth proportional to 357,419.53, 493,349.67 and 230,095.13 is: 317,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,419.53 : 493,349.67 = 230,095.13 : x
  2. Step 2: Convert to fraction form
    357,419.53/493,349.67 = 230,095.13/x
  3. Step 3: Cross multiply
    357,419.53x = 493,349.67 × 230,095.13
  4. Step 4: Simplify right side
    357,419.53x = 113,517,353,987.36
  5. Step 5: Solve for x
    x = 113,517,353,987.36/357,419.53
  6. Step 6: Final answer
    x = 317,602.55

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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.