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Finding the Fourth Proportional to 342,048.96, 513,071.52 and 117,566.40

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Solution

The fourth proportional to 342,048.96, 513,071.52 and 117,566.40 is: 176,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,048.96 : 513,071.52 = 117,566.40 : x
  2. Step 2: Convert to fraction form
    342,048.96/513,071.52 = 117,566.40/x
  3. Step 3: Cross multiply
    342,048.96x = 513,071.52 × 117,566.40
  4. Step 4: Simplify right side
    342,048.96x = 60,319,971,548.93
  5. Step 5: Solve for x
    x = 60,319,971,548.93/342,048.96
  6. Step 6: Final answer
    x = 176,348.94

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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.