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Finding the Fourth Proportional to 310,677.18, 466,482.33 and 177,707.58

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Solution

The fourth proportional to 310,677.18, 466,482.33 and 177,707.58 is: 266,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,677.18 : 466,482.33 = 177,707.58 : x
  2. Step 2: Convert to fraction form
    310,677.18/466,482.33 = 177,707.58/x
  3. Step 3: Cross multiply
    310,677.18x = 466,482.33 × 177,707.58
  4. Step 4: Simplify right side
    310,677.18x = 82,897,445,977.06
  5. Step 5: Solve for x
    x = 82,897,445,977.06/310,677.18
  6. Step 6: Final answer
    x = 266,828.24

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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.