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Finding the Fourth Proportional to 463,041.04, 698,032.22 and 432,178.80

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Solution

The fourth proportional to 463,041.04, 698,032.22 and 432,178.80 is: 651,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,041.04 : 698,032.22 = 432,178.80 : x
  2. Step 2: Convert to fraction form
    463,041.04/698,032.22 = 432,178.80/x
  3. Step 3: Cross multiply
    463,041.04x = 698,032.22 × 432,178.80
  4. Step 4: Simplify right side
    463,041.04x = 301,674,727,200.94
  5. Step 5: Solve for x
    x = 301,674,727,200.94/463,041.04
  6. Step 6: Final answer
    x = 651,507.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.