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Finding the Fourth Proportional to 563,765.80, 847,722.30 and 472,527.40

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Solution

The fourth proportional to 563,765.80, 847,722.30 and 472,527.40 is: 710,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,765.80 : 847,722.30 = 472,527.40 : x
  2. Step 2: Convert to fraction form
    563,765.80/847,722.30 = 472,527.40/x
  3. Step 3: Cross multiply
    563,765.80x = 847,722.30 × 472,527.40
  4. Step 4: Simplify right side
    563,765.80x = 400,572,014,341.02
  5. Step 5: Solve for x
    x = 400,572,014,341.02/563,765.80
  6. Step 6: Final answer
    x = 710,529.11

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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.