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Finding the Fourth Proportional to 468,565.86, 646,621.74 and 253,707.96

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Solution

The fourth proportional to 468,565.86, 646,621.74 and 253,707.96 is: 350,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,565.86 : 646,621.74 = 253,707.96 : x
  2. Step 2: Convert to fraction form
    468,565.86/646,621.74 = 253,707.96/x
  3. Step 3: Cross multiply
    468,565.86x = 646,621.74 × 253,707.96
  4. Step 4: Simplify right side
    468,565.86x = 164,053,082,547.05
  5. Step 5: Solve for x
    x = 164,053,082,547.05/468,565.86
  6. Step 6: Final answer
    x = 350,117.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.