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Finding the Fourth Proportional to 390,785.76, 585,784.80 and 154,036.80

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Solution

The fourth proportional to 390,785.76, 585,784.80 and 154,036.80 is: 230,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,785.76 : 585,784.80 = 154,036.80 : x
  2. Step 2: Convert to fraction form
    390,785.76/585,784.80 = 154,036.80/x
  3. Step 3: Cross multiply
    390,785.76x = 585,784.80 × 154,036.80
  4. Step 4: Simplify right side
    390,785.76x = 90,232,416,080.64
  5. Step 5: Solve for x
    x = 90,232,416,080.64/390,785.76
  6. Step 6: Final answer
    x = 230,899.96

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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.