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Finding the Fourth Proportional to 657,904.80, 984,670.20 and 477,477.30

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Solution

The fourth proportional to 657,904.80, 984,670.20 and 477,477.30 is: 714,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,904.80 : 984,670.20 = 477,477.30 : x
  2. Step 2: Convert to fraction form
    657,904.80/984,670.20 = 477,477.30/x
  3. Step 3: Cross multiply
    657,904.80x = 984,670.20 × 477,477.30
  4. Step 4: Simplify right side
    657,904.80x = 470,157,668,486.46
  5. Step 5: Solve for x
    x = 470,157,668,486.46/657,904.80
  6. Step 6: Final answer
    x = 714,628.73

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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.