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Finding the Fourth Proportional to 432,017.40, 648,803.70 and 313,822.20

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Solution

The fourth proportional to 432,017.40, 648,803.70 and 313,822.20 is: 471,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,017.40 : 648,803.70 = 313,822.20 : x
  2. Step 2: Convert to fraction form
    432,017.40/648,803.70 = 313,822.20/x
  3. Step 3: Cross multiply
    432,017.40x = 648,803.70 × 313,822.20
  4. Step 4: Simplify right side
    432,017.40x = 203,609,004,502.14
  5. Step 5: Solve for x
    x = 203,609,004,502.14/432,017.40
  6. Step 6: Final answer
    x = 471,298.16

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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.