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Finding the Fourth Proportional to 316,953.46, 472,636.63 and 314,110.90

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Solution

The fourth proportional to 316,953.46, 472,636.63 and 314,110.90 is: 468,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,953.46 : 472,636.63 = 314,110.90 : x
  2. Step 2: Convert to fraction form
    316,953.46/472,636.63 = 314,110.90/x
  3. Step 3: Cross multiply
    316,953.46x = 472,636.63 × 314,110.90
  4. Step 4: Simplify right side
    316,953.46x = 148,460,317,222.27
  5. Step 5: Solve for x
    x = 148,460,317,222.27/316,953.46
  6. Step 6: Final answer
    x = 468,397.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.