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Finding the Fourth Proportional to 357,117.42, 492,829.47 and 195,963.06

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Solution

The fourth proportional to 357,117.42, 492,829.47 and 195,963.06 is: 270,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,117.42 : 492,829.47 = 195,963.06 : x
  2. Step 2: Convert to fraction form
    357,117.42/492,829.47 = 195,963.06/x
  3. Step 3: Cross multiply
    357,117.42x = 492,829.47 × 195,963.06
  4. Step 4: Simplify right side
    357,117.42x = 96,576,370,999.38
  5. Step 5: Solve for x
    x = 96,576,370,999.38/357,117.42
  6. Step 6: Final answer
    x = 270,433.10

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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.