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Finding the Fourth Proportional to 506,568.16, 759,853.13 and 207,048.48

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Solution

The fourth proportional to 506,568.16, 759,853.13 and 207,048.48 is: 310,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,568.16 : 759,853.13 = 207,048.48 : x
  2. Step 2: Convert to fraction form
    506,568.16/759,853.13 = 207,048.48/x
  3. Step 3: Cross multiply
    506,568.16x = 759,853.13 × 207,048.48
  4. Step 4: Simplify right side
    506,568.16x = 157,326,435,589.74
  5. Step 5: Solve for x
    x = 157,326,435,589.74/506,568.16
  6. Step 6: Final answer
    x = 310,573.08

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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.