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Finding the Fourth Proportional to 434,443.20, 651,664.80 and 293,438.40

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Solution

The fourth proportional to 434,443.20, 651,664.80 and 293,438.40 is: 440,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,443.20 : 651,664.80 = 293,438.40 : x
  2. Step 2: Convert to fraction form
    434,443.20/651,664.80 = 293,438.40/x
  3. Step 3: Cross multiply
    434,443.20x = 651,664.80 × 293,438.40
  4. Step 4: Simplify right side
    434,443.20x = 191,223,476,248.32
  5. Step 5: Solve for x
    x = 191,223,476,248.32/434,443.20
  6. Step 6: Final answer
    x = 440,157.60

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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.