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Finding the Fourth Proportional to 586,549.16, 879,812.94 and 187,186.76

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Solution

The fourth proportional to 586,549.16, 879,812.94 and 187,186.76 is: 280,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,549.16 : 879,812.94 = 187,186.76 : x
  2. Step 2: Convert to fraction form
    586,549.16/879,812.94 = 187,186.76/x
  3. Step 3: Cross multiply
    586,549.16x = 879,812.94 × 187,186.76
  4. Step 4: Simplify right side
    586,549.16x = 164,689,333,644.67
  5. Step 5: Solve for x
    x = 164,689,333,644.67/586,549.16
  6. Step 6: Final answer
    x = 280,776.69

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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.