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Finding the Fourth Proportional to 564,047.84, 846,293.32 and 248,283.36

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Solution

The fourth proportional to 564,047.84, 846,293.32 and 248,283.36 is: 372,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,047.84 : 846,293.32 = 248,283.36 : x
  2. Step 2: Convert to fraction form
    564,047.84/846,293.32 = 248,283.36/x
  3. Step 3: Cross multiply
    564,047.84x = 846,293.32 × 248,283.36
  4. Step 4: Simplify right side
    564,047.84x = 210,120,549,035.16
  5. Step 5: Solve for x
    x = 210,120,549,035.16/564,047.84
  6. Step 6: Final answer
    x = 372,522.57

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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.