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Finding the Fourth Proportional to 586,118.16, 879,179.40 and 142,886.16

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Solution

The fourth proportional to 586,118.16, 879,179.40 and 142,886.16 is: 214,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,118.16 : 879,179.40 = 142,886.16 : x
  2. Step 2: Convert to fraction form
    586,118.16/879,179.40 = 142,886.16/x
  3. Step 3: Cross multiply
    586,118.16x = 879,179.40 × 142,886.16
  4. Step 4: Simplify right side
    586,118.16x = 125,622,568,417.10
  5. Step 5: Solve for x
    x = 125,622,568,417.10/586,118.16
  6. Step 6: Final answer
    x = 214,329.77

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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.