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Finding the Fourth Proportional to 509,148.64, 702,547.08 and 294,247.24

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Solution

The fourth proportional to 509,148.64, 702,547.08 and 294,247.24 is: 406,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,148.64 : 702,547.08 = 294,247.24 : x
  2. Step 2: Convert to fraction form
    509,148.64/702,547.08 = 294,247.24/x
  3. Step 3: Cross multiply
    509,148.64x = 702,547.08 × 294,247.24
  4. Step 4: Simplify right side
    509,148.64x = 206,722,539,260.06
  5. Step 5: Solve for x
    x = 206,722,539,260.06/509,148.64
  6. Step 6: Final answer
    x = 406,016.09

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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.