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Finding the Fourth Proportional to 586,499.91, 879,734.48 and 187,165.05

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Solution

The fourth proportional to 586,499.91, 879,734.48 and 187,165.05 is: 280,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,499.91 : 879,734.48 = 187,165.05 : x
  2. Step 2: Convert to fraction form
    586,499.91/879,734.48 = 187,165.05/x
  3. Step 3: Cross multiply
    586,499.91x = 879,734.48 × 187,165.05
  4. Step 4: Simplify right side
    586,499.91x = 164,655,547,000.10
  5. Step 5: Solve for x
    x = 164,655,547,000.10/586,499.91
  6. Step 6: Final answer
    x = 280,742.66

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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.