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Finding the Fourth Proportional to 302,513, 417,467.94 and 168,374.12

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Solution

The fourth proportional to 302,513, 417,467.94 and 168,374.12 is: 232,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,513 : 417,467.94 = 168,374.12 : x
  2. Step 2: Convert to fraction form
    302,513/417,467.94 = 168,374.12/x
  3. Step 3: Cross multiply
    302,513x = 417,467.94 × 168,374.12
  4. Step 4: Simplify right side
    302,513x = 70,290,797,025.71
  5. Step 5: Solve for x
    x = 70,290,797,025.71/302,513
  6. Step 6: Final answer
    x = 232,356.29

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1.5x scale

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.