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Finding the Fourth Proportional to 302,468.16, 417,402 and 168,332.16

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Solution

The fourth proportional to 302,468.16, 417,402 and 168,332.16 is: 232,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,468.16 : 417,402 = 168,332.16 : x
  2. Step 2: Convert to fraction form
    302,468.16/417,402 = 168,332.16/x
  3. Step 3: Cross multiply
    302,468.16x = 417,402 × 168,332.16
  4. Step 4: Simplify right side
    302,468.16x = 70,262,180,248.32
  5. Step 5: Solve for x
    x = 70,262,180,248.32/302,468.16
  6. Step 6: Final answer
    x = 232,296.12

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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.