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Finding the Fourth Proportional to 522,301.24, 783,564.65 and 162,465.24

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Solution

The fourth proportional to 522,301.24, 783,564.65 and 162,465.24 is: 243,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,301.24 : 783,564.65 = 162,465.24 : x
  2. Step 2: Convert to fraction form
    522,301.24/783,564.65 = 162,465.24/x
  3. Step 3: Cross multiply
    522,301.24x = 783,564.65 × 162,465.24
  4. Step 4: Simplify right side
    522,301.24x = 127,302,018,917.77
  5. Step 5: Solve for x
    x = 127,302,018,917.77/522,301.24
  6. Step 6: Final answer
    x = 243,732.94

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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.