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Finding the Fourth Proportional to 457,101, 630,590.04 and 296,007.93

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Solution

The fourth proportional to 457,101, 630,590.04 and 296,007.93 is: 408,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,101 : 630,590.04 = 296,007.93 : x
  2. Step 2: Convert to fraction form
    457,101/630,590.04 = 296,007.93/x
  3. Step 3: Cross multiply
    457,101x = 630,590.04 × 296,007.93
  4. Step 4: Simplify right side
    457,101x = 186,659,652,419.02
  5. Step 5: Solve for x
    x = 186,659,652,419.02/457,101
  6. Step 6: Final answer
    x = 408,355.38

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1.5x scale

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.