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Finding the Fourth Proportional to 706,726.50, 975,345.83 and 416,340.73

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Solution

The fourth proportional to 706,726.50, 975,345.83 and 416,340.73 is: 574,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,726.50 : 975,345.83 = 416,340.73 : x
  2. Step 2: Convert to fraction form
    706,726.50/975,345.83 = 416,340.73/x
  3. Step 3: Cross multiply
    706,726.50x = 975,345.83 × 416,340.73
  4. Step 4: Simplify right side
    706,726.50x = 406,076,194,864.66
  5. Step 5: Solve for x
    x = 406,076,194,864.66/706,726.50
  6. Step 6: Final answer
    x = 574,587.47

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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.