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Finding the Fourth Proportional to 319,534.20, 478,718.10 and 260,047.80

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Solution

The fourth proportional to 319,534.20, 478,718.10 and 260,047.80 is: 389,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,534.20 : 478,718.10 = 260,047.80 : x
  2. Step 2: Convert to fraction form
    319,534.20/478,718.10 = 260,047.80/x
  3. Step 3: Cross multiply
    319,534.20x = 478,718.10 × 260,047.80
  4. Step 4: Simplify right side
    319,534.20x = 124,489,588,725.18
  5. Step 5: Solve for x
    x = 124,489,588,725.18/319,534.20
  6. Step 6: Final answer
    x = 389,597.07

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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.