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Finding the Fourth Proportional to 432,088.80, 648,133.20 and 233,023.20

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Solution

The fourth proportional to 432,088.80, 648,133.20 and 233,023.20 is: 349,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,088.80 : 648,133.20 = 233,023.20 : x
  2. Step 2: Convert to fraction form
    432,088.80/648,133.20 = 233,023.20/x
  3. Step 3: Cross multiply
    432,088.80x = 648,133.20 × 233,023.20
  4. Step 4: Simplify right side
    432,088.80x = 151,030,072,290.24
  5. Step 5: Solve for x
    x = 151,030,072,290.24/432,088.80
  6. Step 6: Final answer
    x = 349,534.80

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1.5x scale

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.