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Finding the Fourth Proportional to 506,434.40, 759,176.40 and 191,103.20

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Solution

The fourth proportional to 506,434.40, 759,176.40 and 191,103.20 is: 286,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,434.40 : 759,176.40 = 191,103.20 : x
  2. Step 2: Convert to fraction form
    506,434.40/759,176.40 = 191,103.20/x
  3. Step 3: Cross multiply
    506,434.40x = 759,176.40 × 191,103.20
  4. Step 4: Simplify right side
    506,434.40x = 145,081,039,404.48
  5. Step 5: Solve for x
    x = 145,081,039,404.48/506,434.40
  6. Step 6: Final answer
    x = 286,475.48

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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.