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Finding the Fourth Proportional to 564,378.54, 777,564.10 and 537,474.34

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Solution

The fourth proportional to 564,378.54, 777,564.10 and 537,474.34 is: 740,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,378.54 : 777,564.10 = 537,474.34 : x
  2. Step 2: Convert to fraction form
    564,378.54/777,564.10 = 537,474.34/x
  3. Step 3: Cross multiply
    564,378.54x = 777,564.10 × 537,474.34
  4. Step 4: Simplify right side
    564,378.54x = 417,920,744,880.00
  5. Step 5: Solve for x
    x = 417,920,744,880.00/564,378.54
  6. Step 6: Final answer
    x = 740,497.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.