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Finding the Fourth Proportional to 471,713.76, 706,492.71 and 370,280.93

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Solution

The fourth proportional to 471,713.76, 706,492.71 and 370,280.93 is: 554,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,713.76 : 706,492.71 = 370,280.93 : x
  2. Step 2: Convert to fraction form
    471,713.76/706,492.71 = 370,280.93/x
  3. Step 3: Cross multiply
    471,713.76x = 706,492.71 × 370,280.93
  4. Step 4: Simplify right side
    471,713.76x = 261,600,774,164.56
  5. Step 5: Solve for x
    x = 261,600,774,164.56/471,713.76
  6. Step 6: Final answer
    x = 554,575.25

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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.