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Finding the Fourth Proportional to 302,846.47, 417,928.16 and 175,595.87

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Solution

The fourth proportional to 302,846.47, 417,928.16 and 175,595.87 is: 242,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,846.47 : 417,928.16 = 175,595.87 : x
  2. Step 2: Convert to fraction form
    302,846.47/417,928.16 = 175,595.87/x
  3. Step 3: Cross multiply
    302,846.47x = 417,928.16 × 175,595.87
  4. Step 4: Simplify right side
    302,846.47x = 73,386,457,974.72
  5. Step 5: Solve for x
    x = 73,386,457,974.72/302,846.47
  6. Step 6: Final answer
    x = 242,322.32

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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.