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Finding the Fourth Proportional to 586,356, 879,489.84 and 186,980.64

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Solution

The fourth proportional to 586,356, 879,489.84 and 186,980.64 is: 280,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,356 : 879,489.84 = 186,980.64 : x
  2. Step 2: Convert to fraction form
    586,356/879,489.84 = 186,980.64/x
  3. Step 3: Cross multiply
    586,356x = 879,489.84 × 186,980.64
  4. Step 4: Simplify right side
    586,356x = 164,447,573,156.70
  5. Step 5: Solve for x
    x = 164,447,573,156.70/586,356
  6. Step 6: Final answer
    x = 280,456.88

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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.