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Finding the Fourth Proportional to 483,075.32, 724,726.77 and 146,118.76

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Solution

The fourth proportional to 483,075.32, 724,726.77 and 146,118.76 is: 219,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,075.32 : 724,726.77 = 146,118.76 : x
  2. Step 2: Convert to fraction form
    483,075.32/724,726.77 = 146,118.76/x
  3. Step 3: Cross multiply
    483,075.32x = 724,726.77 × 146,118.76
  4. Step 4: Simplify right side
    483,075.32x = 105,896,176,971.21
  5. Step 5: Solve for x
    x = 105,896,176,971.21/483,075.32
  6. Step 6: Final answer
    x = 219,212.56

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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.