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Finding the Fourth Proportional to 586,126.86, 879,180.68 and 186,762.23

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Solution

The fourth proportional to 586,126.86, 879,180.68 and 186,762.23 is: 280,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,126.86 : 879,180.68 = 186,762.23 : x
  2. Step 2: Convert to fraction form
    586,126.86/879,180.68 = 186,762.23/x
  3. Step 3: Cross multiply
    586,126.86x = 879,180.68 × 186,762.23
  4. Step 4: Simplify right side
    586,126.86x = 164,197,739,040.00
  5. Step 5: Solve for x
    x = 164,197,739,040.00/586,126.86
  6. Step 6: Final answer
    x = 280,140.27

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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.