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Finding the Fourth Proportional to 705,814.70, 974,030.13 and 383,524.80

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Solution

The fourth proportional to 705,814.70, 974,030.13 and 383,524.80 is: 529,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,814.70 : 974,030.13 = 383,524.80 : x
  2. Step 2: Convert to fraction form
    705,814.70/974,030.13 = 383,524.80/x
  3. Step 3: Cross multiply
    705,814.70x = 974,030.13 × 383,524.80
  4. Step 4: Simplify right side
    705,814.70x = 373,564,713,998.26
  5. Step 5: Solve for x
    x = 373,564,713,998.26/705,814.70
  6. Step 6: Final answer
    x = 529,267.40

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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.