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Finding the Fourth Proportional to 264,590.16, 396,886.32 and 64,911.84

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Solution

The fourth proportional to 264,590.16, 396,886.32 and 64,911.84 is: 97,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,590.16 : 396,886.32 = 64,911.84 : x
  2. Step 2: Convert to fraction form
    264,590.16/396,886.32 = 64,911.84/x
  3. Step 3: Cross multiply
    264,590.16x = 396,886.32 × 64,911.84
  4. Step 4: Simplify right side
    264,590.16x = 25,762,621,302.03
  5. Step 5: Solve for x
    x = 25,762,621,302.03/264,590.16
  6. Step 6: Final answer
    x = 97,368.02

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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.