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Finding the Fourth Proportional to 314,170.76, 467,702.51 and 312,302.40

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Solution

The fourth proportional to 314,170.76, 467,702.51 and 312,302.40 is: 464,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,170.76 : 467,702.51 = 312,302.40 : x
  2. Step 2: Convert to fraction form
    314,170.76/467,702.51 = 312,302.40/x
  3. Step 3: Cross multiply
    314,170.76x = 467,702.51 × 312,302.40
  4. Step 4: Simplify right side
    314,170.76x = 146,064,614,797.51
  5. Step 5: Solve for x
    x = 146,064,614,797.51/314,170.76
  6. Step 6: Final answer
    x = 464,921.11

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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.