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Finding the Fourth Proportional to 304,653.40, 457,058.94 and 178,400.32

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Solution

The fourth proportional to 304,653.40, 457,058.94 and 178,400.32 is: 267,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,653.40 : 457,058.94 = 178,400.32 : x
  2. Step 2: Convert to fraction form
    304,653.40/457,058.94 = 178,400.32/x
  3. Step 3: Cross multiply
    304,653.40x = 457,058.94 × 178,400.32
  4. Step 4: Simplify right side
    304,653.40x = 81,539,461,154.86
  5. Step 5: Solve for x
    x = 81,539,461,154.86/304,653.40
  6. Step 6: Final answer
    x = 267,646.65

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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.