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Finding the Fourth Proportional to 341,769.60, 511,444.80 and 297,878.40

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Solution

The fourth proportional to 341,769.60, 511,444.80 and 297,878.40 is: 445,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,769.60 : 511,444.80 = 297,878.40 : x
  2. Step 2: Convert to fraction form
    341,769.60/511,444.80 = 297,878.40/x
  3. Step 3: Cross multiply
    341,769.60x = 511,444.80 × 297,878.40
  4. Step 4: Simplify right side
    341,769.60x = 152,348,358,712.32
  5. Step 5: Solve for x
    x = 152,348,358,712.32/341,769.60
  6. Step 6: Final answer
    x = 445,763.34

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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.