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Finding the Fourth Proportional to 537,281.40, 805,922.10 and 397,313.40

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Solution

The fourth proportional to 537,281.40, 805,922.10 and 397,313.40 is: 595,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,281.40 : 805,922.10 = 397,313.40 : x
  2. Step 2: Convert to fraction form
    537,281.40/805,922.10 = 397,313.40/x
  3. Step 3: Cross multiply
    537,281.40x = 805,922.10 × 397,313.40
  4. Step 4: Simplify right side
    537,281.40x = 320,203,649,686.14
  5. Step 5: Solve for x
    x = 320,203,649,686.14/537,281.40
  6. Step 6: Final answer
    x = 595,970.10

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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.