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Finding the Fourth Proportional to 302,681.71, 417,700.74 and 175,431.12

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Solution

The fourth proportional to 302,681.71, 417,700.74 and 175,431.12 is: 242,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,681.71 : 417,700.74 = 175,431.12 : x
  2. Step 2: Convert to fraction form
    302,681.71/417,700.74 = 175,431.12/x
  3. Step 3: Cross multiply
    302,681.71x = 417,700.74 × 175,431.12
  4. Step 4: Simplify right side
    302,681.71x = 73,277,706,554.53
  5. Step 5: Solve for x
    x = 73,277,706,554.53/302,681.71
  6. Step 6: Final answer
    x = 242,094.93

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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.