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Finding the Fourth Proportional to 310,029.60, 465,044.40 and 295,267.35

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Solution

The fourth proportional to 310,029.60, 465,044.40 and 295,267.35 is: 442,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,029.60 : 465,044.40 = 295,267.35 : x
  2. Step 2: Convert to fraction form
    310,029.60/465,044.40 = 295,267.35/x
  3. Step 3: Cross multiply
    310,029.60x = 465,044.40 × 295,267.35
  4. Step 4: Simplify right side
    310,029.60x = 137,312,427,620.34
  5. Step 5: Solve for x
    x = 137,312,427,620.34/310,029.60
  6. Step 6: Final answer
    x = 442,901.03

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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.