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Finding the Fourth Proportional to 522,301.74, 783,565.40 and 162,465.74

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Solution

The fourth proportional to 522,301.74, 783,565.40 and 162,465.74 is: 243,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,301.74 : 783,565.40 = 162,465.74 : x
  2. Step 2: Convert to fraction form
    522,301.74/783,565.40 = 162,465.74/x
  3. Step 3: Cross multiply
    522,301.74x = 783,565.40 × 162,465.74
  4. Step 4: Simplify right side
    522,301.74x = 127,302,532,549.40
  5. Step 5: Solve for x
    x = 127,302,532,549.40/522,301.74
  6. Step 6: Final answer
    x = 243,733.69

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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.