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Finding the Fourth Proportional to 364,345.47, 546,523.77 and 164,526.57

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Solution

The fourth proportional to 364,345.47, 546,523.77 and 164,526.57 is: 246,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,345.47 : 546,523.77 = 164,526.57 : x
  2. Step 2: Convert to fraction form
    364,345.47/546,523.77 = 164,526.57/x
  3. Step 3: Cross multiply
    364,345.47x = 546,523.77 × 164,526.57
  4. Step 4: Simplify right side
    364,345.47x = 89,917,681,301.57
  5. Step 5: Solve for x
    x = 89,917,681,301.57/364,345.47
  6. Step 6: Final answer
    x = 246,792.37

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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.