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Finding the Fourth Proportional to 412,946.93, 570,111.07 and 260,116.12

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Solution

The fourth proportional to 412,946.93, 570,111.07 and 260,116.12 is: 359,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,946.93 : 570,111.07 = 260,116.12 : x
  2. Step 2: Convert to fraction form
    412,946.93/570,111.07 = 260,116.12/x
  3. Step 3: Cross multiply
    412,946.93x = 570,111.07 × 260,116.12
  4. Step 4: Simplify right side
    412,946.93x = 148,295,079,497.45
  5. Step 5: Solve for x
    x = 148,295,079,497.45/412,946.93
  6. Step 6: Final answer
    x = 359,114.13

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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.