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Finding the Fourth Proportional to 302,423.88, 416,444.10 and 295,710.93

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Solution

The fourth proportional to 302,423.88, 416,444.10 and 295,710.93 is: 407,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,423.88 : 416,444.10 = 295,710.93 : x
  2. Step 2: Convert to fraction form
    302,423.88/416,444.10 = 295,710.93/x
  3. Step 3: Cross multiply
    302,423.88x = 416,444.10 × 295,710.93
  4. Step 4: Simplify right side
    302,423.88x = 123,147,072,104.01
  5. Step 5: Solve for x
    x = 123,147,072,104.01/302,423.88
  6. Step 6: Final answer
    x = 407,200.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.