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Finding the Fourth Proportional to 656,533.64, 984,800.14 and 157,897.48

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Solution

The fourth proportional to 656,533.64, 984,800.14 and 157,897.48 is: 236,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,533.64 : 984,800.14 = 157,897.48 : x
  2. Step 2: Convert to fraction form
    656,533.64/984,800.14 = 157,897.48/x
  3. Step 3: Cross multiply
    656,533.64x = 984,800.14 × 157,897.48
  4. Step 4: Simplify right side
    656,533.64x = 155,497,460,409.65
  5. Step 5: Solve for x
    x = 155,497,460,409.65/656,533.64
  6. Step 6: Final answer
    x = 236,846.14

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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.