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Finding the Fourth Proportional to 317,430, 476,278.50 and 197,587.14

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Solution

The fourth proportional to 317,430, 476,278.50 and 197,587.14 is: 296,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,430 : 476,278.50 = 197,587.14 : x
  2. Step 2: Convert to fraction form
    317,430/476,278.50 = 197,587.14/x
  3. Step 3: Cross multiply
    317,430x = 476,278.50 × 197,587.14
  4. Step 4: Simplify right side
    317,430x = 94,106,506,658.49
  5. Step 5: Solve for x
    x = 94,106,506,658.49/317,430
  6. Step 6: Final answer
    x = 296,463.81

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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.