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Finding the Fourth Proportional to 302,718.75, 417,751.98 and 175,468.16

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Solution

The fourth proportional to 302,718.75, 417,751.98 and 175,468.16 is: 242,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,718.75 : 417,751.98 = 175,468.16 : x
  2. Step 2: Convert to fraction form
    302,718.75/417,751.98 = 175,468.16/x
  3. Step 3: Cross multiply
    302,718.75x = 417,751.98 × 175,468.16
  4. Step 4: Simplify right side
    302,718.75x = 73,302,169,178.20
  5. Step 5: Solve for x
    x = 73,302,169,178.20/302,718.75
  6. Step 6: Final answer
    x = 242,146.11

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Why These Related Problems?

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