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Finding the Fourth Proportional to 432,283.40, 648,117.90 and 195,739.40

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Solution

The fourth proportional to 432,283.40, 648,117.90 and 195,739.40 is: 293,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,283.40 : 648,117.90 = 195,739.40 : x
  2. Step 2: Convert to fraction form
    432,283.40/648,117.90 = 195,739.40/x
  3. Step 3: Cross multiply
    432,283.40x = 648,117.90 × 195,739.40
  4. Step 4: Simplify right side
    432,283.40x = 126,862,208,875.26
  5. Step 5: Solve for x
    x = 126,862,208,875.26/432,283.40
  6. Step 6: Final answer
    x = 293,470.00

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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.