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Finding the Fourth Proportional to 507,314.73, 761,088.74 and 152,335.47

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Solution

The fourth proportional to 507,314.73, 761,088.74 and 152,335.47 is: 228,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,314.73 : 761,088.74 = 152,335.47 : x
  2. Step 2: Convert to fraction form
    507,314.73/761,088.74 = 152,335.47/x
  3. Step 3: Cross multiply
    507,314.73x = 761,088.74 × 152,335.47
  4. Step 4: Simplify right side
    507,314.73x = 115,940,810,919.61
  5. Step 5: Solve for x
    x = 115,940,810,919.61/507,314.73
  6. Step 6: Final answer
    x = 228,538.23

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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.