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Finding the Fourth Proportional to 304,430.24, 420,107.45 and 168,464.10

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Solution

The fourth proportional to 304,430.24, 420,107.45 and 168,464.10 is: 232,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,430.24 : 420,107.45 = 168,464.10 : x
  2. Step 2: Convert to fraction form
    304,430.24/420,107.45 = 168,464.10/x
  3. Step 3: Cross multiply
    304,430.24x = 420,107.45 × 168,464.10
  4. Step 4: Simplify right side
    304,430.24x = 70,773,023,467.55
  5. Step 5: Solve for x
    x = 70,773,023,467.55/304,430.24
  6. Step 6: Final answer
    x = 232,476.98

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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.