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Finding the Fourth Proportional to 387,783.40, 581,688.06 and 107,277.16

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Solution

The fourth proportional to 387,783.40, 581,688.06 and 107,277.16 is: 160,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,783.40 : 581,688.06 = 107,277.16 : x
  2. Step 2: Convert to fraction form
    387,783.40/581,688.06 = 107,277.16/x
  3. Step 3: Cross multiply
    387,783.40x = 581,688.06 × 107,277.16
  4. Step 4: Simplify right side
    387,783.40x = 62,401,843,082.71
  5. Step 5: Solve for x
    x = 62,401,843,082.71/387,783.40
  6. Step 6: Final answer
    x = 160,919.33

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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.