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Finding the Fourth Proportional to 502,971.28, 695,928.08 and 438,574.80

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Solution

The fourth proportional to 502,971.28, 695,928.08 and 438,574.80 is: 606,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,971.28 : 695,928.08 = 438,574.80 : x
  2. Step 2: Convert to fraction form
    502,971.28/695,928.08 = 438,574.80/x
  3. Step 3: Cross multiply
    502,971.28x = 695,928.08 × 438,574.80
  4. Step 4: Simplify right side
    502,971.28x = 305,216,518,500.38
  5. Step 5: Solve for x
    x = 305,216,518,500.38/502,971.28
  6. Step 6: Final answer
    x = 606,826.93

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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.