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Finding the Fourth Proportional to 287,026.40, 429,924.51 and 233,464.14

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Solution

The fourth proportional to 287,026.40, 429,924.51 and 233,464.14 is: 349,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,026.40 : 429,924.51 = 233,464.14 : x
  2. Step 2: Convert to fraction form
    287,026.40/429,924.51 = 233,464.14/x
  3. Step 3: Cross multiply
    287,026.40x = 429,924.51 × 233,464.14
  4. Step 4: Simplify right side
    287,026.40x = 100,371,955,992.07
  5. Step 5: Solve for x
    x = 100,371,955,992.07/287,026.40
  6. Step 6: Final answer
    x = 349,695.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.