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Finding the Fourth Proportional to 478,122.94, 717,017.10 and 141,074.11

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Solution

The fourth proportional to 478,122.94, 717,017.10 and 141,074.11 is: 211,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,122.94 : 717,017.10 = 141,074.11 : x
  2. Step 2: Convert to fraction form
    478,122.94/717,017.10 = 141,074.11/x
  3. Step 3: Cross multiply
    478,122.94x = 717,017.10 × 141,074.11
  4. Step 4: Simplify right side
    478,122.94x = 101,152,549,237.28
  5. Step 5: Solve for x
    x = 101,152,549,237.28/478,122.94
  6. Step 6: Final answer
    x = 211,561.80

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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.