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Finding the Fourth Proportional to 364,271.52, 546,276.06 and 153,925.86

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Solution

The fourth proportional to 364,271.52, 546,276.06 and 153,925.86 is: 230,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,271.52 : 546,276.06 = 153,925.86 : x
  2. Step 2: Convert to fraction form
    364,271.52/546,276.06 = 153,925.86/x
  3. Step 3: Cross multiply
    364,271.52x = 546,276.06 × 153,925.86
  4. Step 4: Simplify right side
    364,271.52x = 84,086,012,332.91
  5. Step 5: Solve for x
    x = 84,086,012,332.91/364,271.52
  6. Step 6: Final answer
    x = 230,833.34

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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.