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Finding the Fourth Proportional to 506,034.42, 759,176.16 and 356,566.50

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Solution

The fourth proportional to 506,034.42, 759,176.16 and 356,566.50 is: 534,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,034.42 : 759,176.16 = 356,566.50 : x
  2. Step 2: Convert to fraction form
    506,034.42/759,176.16 = 356,566.50/x
  3. Step 3: Cross multiply
    506,034.42x = 759,176.16 × 356,566.50
  4. Step 4: Simplify right side
    506,034.42x = 270,696,786,254.64
  5. Step 5: Solve for x
    x = 270,696,786,254.64/506,034.42
  6. Step 6: Final answer
    x = 534,937.50

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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.