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Finding the Fourth Proportional to 317,907.84, 477,058.32 and 184,850.40

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Solution

The fourth proportional to 317,907.84, 477,058.32 and 184,850.40 is: 277,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,907.84 : 477,058.32 = 184,850.40 : x
  2. Step 2: Convert to fraction form
    317,907.84/477,058.32 = 184,850.40/x
  3. Step 3: Cross multiply
    317,907.84x = 477,058.32 × 184,850.40
  4. Step 4: Simplify right side
    317,907.84x = 88,184,421,275.33
  5. Step 5: Solve for x
    x = 88,184,421,275.33/317,907.84
  6. Step 6: Final answer
    x = 277,389.89

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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.