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Finding the Fourth Proportional to 409,424.04, 614,275.38 and 249,819.48

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Solution

The fourth proportional to 409,424.04, 614,275.38 and 249,819.48 is: 374,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,424.04 : 614,275.38 = 249,819.48 : x
  2. Step 2: Convert to fraction form
    409,424.04/614,275.38 = 249,819.48/x
  3. Step 3: Cross multiply
    409,424.04x = 614,275.38 × 249,819.48
  4. Step 4: Simplify right side
    409,424.04x = 153,457,956,008.40
  5. Step 5: Solve for x
    x = 153,457,956,008.40/409,424.04
  6. Step 6: Final answer
    x = 374,814.23

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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.