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Finding the Fourth Proportional to 287,008.83, 430,495.74 and 107,059.50

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Solution

The fourth proportional to 287,008.83, 430,495.74 and 107,059.50 is: 160,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,008.83 : 430,495.74 = 107,059.50 : x
  2. Step 2: Convert to fraction form
    287,008.83/430,495.74 = 107,059.50/x
  3. Step 3: Cross multiply
    287,008.83x = 430,495.74 × 107,059.50
  4. Step 4: Simplify right side
    287,008.83x = 46,088,658,676.53
  5. Step 5: Solve for x
    x = 46,088,658,676.53/287,008.83
  6. Step 6: Final answer
    x = 160,582.72

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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.