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Finding the Fourth Proportional to 342,322.86, 513,496 and 117,681.38

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Solution

The fourth proportional to 342,322.86, 513,496 and 117,681.38 is: 176,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,322.86 : 513,496 = 117,681.38 : x
  2. Step 2: Convert to fraction form
    342,322.86/513,496 = 117,681.38/x
  3. Step 3: Cross multiply
    342,322.86x = 513,496 × 117,681.38
  4. Step 4: Simplify right side
    342,322.86x = 60,428,917,904.48
  5. Step 5: Solve for x
    x = 60,428,917,904.48/342,322.86
  6. Step 6: Final answer
    x = 176,526.10

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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.