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Finding the Fourth Proportional to 334,000.32, 460,990.02 and 307,100.28

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Solution

The fourth proportional to 334,000.32, 460,990.02 and 307,100.28 is: 423,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,000.32 : 460,990.02 = 307,100.28 : x
  2. Step 2: Convert to fraction form
    334,000.32/460,990.02 = 307,100.28/x
  3. Step 3: Cross multiply
    334,000.32x = 460,990.02 × 307,100.28
  4. Step 4: Simplify right side
    334,000.32x = 141,570,164,219.21
  5. Step 5: Solve for x
    x = 141,570,164,219.21/334,000.32
  6. Step 6: Final answer
    x = 423,862.36

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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.