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Finding the Fourth Proportional to 310,026, 464,920.92 and 183,701.88

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Solution

The fourth proportional to 310,026, 464,920.92 and 183,701.88 is: 275,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,026 : 464,920.92 = 183,701.88 : x
  2. Step 2: Convert to fraction form
    310,026/464,920.92 = 183,701.88/x
  3. Step 3: Cross multiply
    310,026x = 464,920.92 × 183,701.88
  4. Step 4: Simplify right side
    310,026x = 85,406,847,055.33
  5. Step 5: Solve for x
    x = 85,406,847,055.33/310,026
  6. Step 6: Final answer
    x = 275,482.85

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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.