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Finding the Fourth Proportional to 385,807.60, 578,802.57 and 161,043.13

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Solution

The fourth proportional to 385,807.60, 578,802.57 and 161,043.13 is: 241,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,807.60 : 578,802.57 = 161,043.13 : x
  2. Step 2: Convert to fraction form
    385,807.60/578,802.57 = 161,043.13/x
  3. Step 3: Cross multiply
    385,807.60x = 578,802.57 × 161,043.13
  4. Step 4: Simplify right side
    385,807.60x = 93,212,177,524.84
  5. Step 5: Solve for x
    x = 93,212,177,524.84/385,807.60
  6. Step 6: Final answer
    x = 241,602.75

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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.