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Finding the Fourth Proportional to 506,271.63, 759,294.85 and 146,363.87

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Solution

The fourth proportional to 506,271.63, 759,294.85 and 146,363.87 is: 219,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,271.63 : 759,294.85 = 146,363.87 : x
  2. Step 2: Convert to fraction form
    506,271.63/759,294.85 = 146,363.87/x
  3. Step 3: Cross multiply
    506,271.63x = 759,294.85 × 146,363.87
  4. Step 4: Simplify right side
    506,271.63x = 111,133,332,717.07
  5. Step 5: Solve for x
    x = 111,133,332,717.07/506,271.63
  6. Step 6: Final answer
    x = 219,513.25

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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.