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Finding the Fourth Proportional to 302,528.16, 417,484.80 and 168,392.16

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Solution

The fourth proportional to 302,528.16, 417,484.80 and 168,392.16 is: 232,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,528.16 : 417,484.80 = 168,392.16 : x
  2. Step 2: Convert to fraction form
    302,528.16/417,484.80 = 168,392.16/x
  3. Step 3: Cross multiply
    302,528.16x = 417,484.80 × 168,392.16
  4. Step 4: Simplify right side
    302,528.16x = 70,301,167,239.17
  5. Step 5: Solve for x
    x = 70,301,167,239.17/302,528.16
  6. Step 6: Final answer
    x = 232,378.92

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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.