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Finding the Fourth Proportional to 342,437.42, 513,528.42 and 117,734.24

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Solution

The fourth proportional to 342,437.42, 513,528.42 and 117,734.24 is: 176,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,437.42 : 513,528.42 = 117,734.24 : x
  2. Step 2: Convert to fraction form
    342,437.42/513,528.42 = 117,734.24/x
  3. Step 3: Cross multiply
    342,437.42x = 513,528.42 × 117,734.24
  4. Step 4: Simplify right side
    342,437.42x = 60,459,878,247.10
  5. Step 5: Solve for x
    x = 60,459,878,247.10/342,437.42
  6. Step 6: Final answer
    x = 176,557.45

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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.