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Finding the Fourth Proportional to 472,862.80, 708,127.80 and 314,232.40

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Solution

The fourth proportional to 472,862.80, 708,127.80 and 314,232.40 is: 470,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,862.80 : 708,127.80 = 314,232.40 : x
  2. Step 2: Convert to fraction form
    472,862.80/708,127.80 = 314,232.40/x
  3. Step 3: Cross multiply
    472,862.80x = 708,127.80 × 314,232.40
  4. Step 4: Simplify right side
    472,862.80x = 222,516,698,100.72
  5. Step 5: Solve for x
    x = 222,516,698,100.72/472,862.80
  6. Step 6: Final answer
    x = 470,573.49

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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.