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Finding the Fourth Proportional to 706,013.16, 974,305.85 and 383,723.32

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Solution

The fourth proportional to 706,013.16, 974,305.85 and 383,723.32 is: 529,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,013.16 : 974,305.85 = 383,723.32 : x
  2. Step 2: Convert to fraction form
    706,013.16/974,305.85 = 383,723.32/x
  3. Step 3: Cross multiply
    706,013.16x = 974,305.85 × 383,723.32
  4. Step 4: Simplify right side
    706,013.16x = 373,863,875,457.42
  5. Step 5: Solve for x
    x = 373,863,875,457.42/706,013.16
  6. Step 6: Final answer
    x = 529,542.36

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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.