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Finding the Fourth Proportional to 287,730.10, 431,595.15 and 74,497.60

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Solution

The fourth proportional to 287,730.10, 431,595.15 and 74,497.60 is: 111,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,730.10 : 431,595.15 = 74,497.60 : x
  2. Step 2: Convert to fraction form
    287,730.10/431,595.15 = 74,497.60/x
  3. Step 3: Cross multiply
    287,730.10x = 431,595.15 × 74,497.60
  4. Step 4: Simplify right side
    287,730.10x = 32,152,802,846.64
  5. Step 5: Solve for x
    x = 32,152,802,846.64/287,730.10
  6. Step 6: Final answer
    x = 111,746.40

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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.