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Finding the Fourth Proportional to 315,576.24, 473,368.54 and 105,214.24

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Solution

The fourth proportional to 315,576.24, 473,368.54 and 105,214.24 is: 157,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,576.24 : 473,368.54 = 105,214.24 : x
  2. Step 2: Convert to fraction form
    315,576.24/473,368.54 = 105,214.24/x
  3. Step 3: Cross multiply
    315,576.24x = 473,368.54 × 105,214.24
  4. Step 4: Simplify right side
    315,576.24x = 49,805,110,649.94
  5. Step 5: Solve for x
    x = 49,805,110,649.94/315,576.24
  6. Step 6: Final answer
    x = 157,822.75

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1.5x scale

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.