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Finding the Fourth Proportional to 507,627.84, 761,305.28 and 152,562.56

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Solution

The fourth proportional to 507,627.84, 761,305.28 and 152,562.56 is: 228,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,627.84 : 761,305.28 = 152,562.56 : x
  2. Step 2: Convert to fraction form
    507,627.84/761,305.28 = 152,562.56/x
  3. Step 3: Cross multiply
    507,627.84x = 761,305.28 × 152,562.56
  4. Step 4: Simplify right side
    507,627.84x = 116,146,682,458.32
  5. Step 5: Solve for x
    x = 116,146,682,458.32/507,627.84
  6. Step 6: Final answer
    x = 228,802.82

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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.