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Finding the Fourth Proportional to 314,015.60, 433,439.10 and 249,599.14

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Solution

The fourth proportional to 314,015.60, 433,439.10 and 249,599.14 is: 344,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,015.60 : 433,439.10 = 249,599.14 : x
  2. Step 2: Convert to fraction form
    314,015.60/433,439.10 = 249,599.14/x
  3. Step 3: Cross multiply
    314,015.60x = 433,439.10 × 249,599.14
  4. Step 4: Simplify right side
    314,015.60x = 108,186,023,187.18
  5. Step 5: Solve for x
    x = 108,186,023,187.18/314,015.60
  6. Step 6: Final answer
    x = 344,524.36

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1.5x scale

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.