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Finding the Fourth Proportional to 314,041.98, 470,787.24 and 124,636.02

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Solution

The fourth proportional to 314,041.98, 470,787.24 and 124,636.02 is: 186,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,041.98 : 470,787.24 = 124,636.02 : x
  2. Step 2: Convert to fraction form
    314,041.98/470,787.24 = 124,636.02/x
  3. Step 3: Cross multiply
    314,041.98x = 470,787.24 × 124,636.02
  4. Step 4: Simplify right side
    314,041.98x = 58,677,047,860.38
  5. Step 5: Solve for x
    x = 58,677,047,860.38/314,041.98
  6. Step 6: Final answer
    x = 186,844.60

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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.