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Finding the Fourth Proportional to 310,031.60, 465,047.40 and 295,269.35

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Solution

The fourth proportional to 310,031.60, 465,047.40 and 295,269.35 is: 442,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,031.60 : 465,047.40 = 295,269.35 : x
  2. Step 2: Convert to fraction form
    310,031.60/465,047.40 = 295,269.35/x
  3. Step 3: Cross multiply
    310,031.60x = 465,047.40 × 295,269.35
  4. Step 4: Simplify right side
    310,031.60x = 137,314,243,517.19
  5. Step 5: Solve for x
    x = 137,314,243,517.19/310,031.60
  6. Step 6: Final answer
    x = 442,904.03

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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.