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Finding the Fourth Proportional to 974,309.83, 1,461,873.46 and 434,194.01

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Solution

The fourth proportional to 974,309.83, 1,461,873.46 and 434,194.01 is: 651,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,309.83 : 1,461,873.46 = 434,194.01 : x
  2. Step 2: Convert to fraction form
    974,309.83/1,461,873.46 = 434,194.01/x
  3. Step 3: Cross multiply
    974,309.83x = 1,461,873.46 × 434,194.01
  4. Step 4: Simplify right side
    974,309.83x = 634,736,699,709.98
  5. Step 5: Solve for x
    x = 634,736,699,709.98/974,309.83
  6. Step 6: Final answer
    x = 651,473.16

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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.