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Finding the Fourth Proportional to 523,527.16, 785,364.98 and 168,458.68

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Solution

The fourth proportional to 523,527.16, 785,364.98 and 168,458.68 is: 252,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,527.16 : 785,364.98 = 168,458.68 : x
  2. Step 2: Convert to fraction form
    523,527.16/785,364.98 = 168,458.68/x
  3. Step 3: Cross multiply
    523,527.16x = 785,364.98 × 168,458.68
  4. Step 4: Simplify right side
    523,527.16x = 132,301,547,849.03
  5. Step 5: Solve for x
    x = 132,301,547,849.03/523,527.16
  6. Step 6: Final answer
    x = 252,711.91

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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.