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Finding the Fourth Proportional to 586,095.12, 879,275.28 and 186,758.64

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Solution

The fourth proportional to 586,095.12, 879,275.28 and 186,758.64 is: 280,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,095.12 : 879,275.28 = 186,758.64 : x
  2. Step 2: Convert to fraction form
    586,095.12/879,275.28 = 186,758.64/x
  3. Step 3: Cross multiply
    586,095.12x = 879,275.28 × 186,758.64
  4. Step 4: Simplify right side
    586,095.12x = 164,212,255,478.42
  5. Step 5: Solve for x
    x = 164,212,255,478.42/586,095.12
  6. Step 6: Final answer
    x = 280,180.21

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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.