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Finding the Fourth Proportional to 703,677.42, 971,050.95 and 417,027.60

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Solution

The fourth proportional to 703,677.42, 971,050.95 and 417,027.60 is: 575,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,677.42 : 971,050.95 = 417,027.60 : x
  2. Step 2: Convert to fraction form
    703,677.42/971,050.95 = 417,027.60/x
  3. Step 3: Cross multiply
    703,677.42x = 971,050.95 × 417,027.60
  4. Step 4: Simplify right side
    703,677.42x = 404,955,047,156.22
  5. Step 5: Solve for x
    x = 404,955,047,156.22/703,677.42
  6. Step 6: Final answer
    x = 575,483.93

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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.