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Finding the Fourth Proportional to 310,587.94, 465,549.72 and 160,677.28

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Solution

The fourth proportional to 310,587.94, 465,549.72 and 160,677.28 is: 240,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,587.94 : 465,549.72 = 160,677.28 : x
  2. Step 2: Convert to fraction form
    310,587.94/465,549.72 = 160,677.28/x
  3. Step 3: Cross multiply
    310,587.94x = 465,549.72 × 160,677.28
  4. Step 4: Simplify right side
    310,587.94x = 74,803,262,714.36
  5. Step 5: Solve for x
    x = 74,803,262,714.36/310,587.94
  6. Step 6: Final answer
    x = 240,844.07

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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.