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Finding the Fourth Proportional to 523,047.66, 784,543.80 and 168,034.02

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Solution

The fourth proportional to 523,047.66, 784,543.80 and 168,034.02 is: 252,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,047.66 : 784,543.80 = 168,034.02 : x
  2. Step 2: Convert to fraction form
    523,047.66/784,543.80 = 168,034.02/x
  3. Step 3: Cross multiply
    523,047.66x = 784,543.80 × 168,034.02
  4. Step 4: Simplify right side
    523,047.66x = 131,830,048,580.08
  5. Step 5: Solve for x
    x = 131,830,048,580.08/523,047.66
  6. Step 6: Final answer
    x = 252,042.13

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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.