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Finding the Fourth Proportional to 493,619.40, 740,501.52 and 156,547.68

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Solution

The fourth proportional to 493,619.40, 740,501.52 and 156,547.68 is: 234,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,619.40 : 740,501.52 = 156,547.68 : x
  2. Step 2: Convert to fraction form
    493,619.40/740,501.52 = 156,547.68/x
  3. Step 3: Cross multiply
    493,619.40x = 740,501.52 × 156,547.68
  4. Step 4: Simplify right side
    493,619.40x = 115,923,794,992.47
  5. Step 5: Solve for x
    x = 115,923,794,992.47/493,619.40
  6. Step 6: Final answer
    x = 234,844.49

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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.