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Finding the Fourth Proportional to 385,710.45, 578,657.40 and 160,945.98

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Solution

The fourth proportional to 385,710.45, 578,657.40 and 160,945.98 is: 241,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,710.45 : 578,657.40 = 160,945.98 : x
  2. Step 2: Convert to fraction form
    385,710.45/578,657.40 = 160,945.98/x
  3. Step 3: Cross multiply
    385,710.45x = 578,657.40 × 160,945.98
  4. Step 4: Simplify right side
    385,710.45x = 93,132,582,327.25
  5. Step 5: Solve for x
    x = 93,132,582,327.25/385,710.45
  6. Step 6: Final answer
    x = 241,457.24

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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.