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Finding the Fourth Proportional to 456,587.48, 684,686.52 and 157,098.49

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Solution

The fourth proportional to 456,587.48, 684,686.52 and 157,098.49 is: 235,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,587.48 : 684,686.52 = 157,098.49 : x
  2. Step 2: Convert to fraction form
    456,587.48/684,686.52 = 157,098.49/x
  3. Step 3: Cross multiply
    456,587.48x = 684,686.52 × 157,098.49
  4. Step 4: Simplify right side
    456,587.48x = 107,563,216,703.64
  5. Step 5: Solve for x
    x = 107,563,216,703.64/456,587.48
  6. Step 6: Final answer
    x = 235,580.74

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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.