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Finding the Fourth Proportional to 477,590.16, 659,376.95 and 296,494.25

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Solution

The fourth proportional to 477,590.16, 659,376.95 and 296,494.25 is: 409,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,590.16 : 659,376.95 = 296,494.25 : x
  2. Step 2: Convert to fraction form
    477,590.16/659,376.95 = 296,494.25/x
  3. Step 3: Cross multiply
    477,590.16x = 659,376.95 × 296,494.25
  4. Step 4: Simplify right side
    477,590.16x = 195,501,475,875.57
  5. Step 5: Solve for x
    x = 195,501,475,875.57/477,590.16
  6. Step 6: Final answer
    x = 409,349.89

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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.