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Finding the Fourth Proportional to 592,886.53, 889,328.13 and 458,146.68

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Solution

The fourth proportional to 592,886.53, 889,328.13 and 458,146.68 is: 687,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,886.53 : 889,328.13 = 458,146.68 : x
  2. Step 2: Convert to fraction form
    592,886.53/889,328.13 = 458,146.68/x
  3. Step 3: Cross multiply
    592,886.53x = 889,328.13 × 458,146.68
  4. Step 4: Simplify right side
    592,886.53x = 407,442,725,137.08
  5. Step 5: Solve for x
    x = 407,442,725,137.08/592,886.53
  6. Step 6: Final answer
    x = 687,218.72

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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.