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Finding the Fourth Proportional to 732,074.10, 1,097,783.10 and 282,645.60

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Solution

The fourth proportional to 732,074.10, 1,097,783.10 and 282,645.60 is: 423,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,074.10 : 1,097,783.10 = 282,645.60 : x
  2. Step 2: Convert to fraction form
    732,074.10/1,097,783.10 = 282,645.60/x
  3. Step 3: Cross multiply
    732,074.10x = 1,097,783.10 × 282,645.60
  4. Step 4: Simplify right side
    732,074.10x = 310,283,562,969.36
  5. Step 5: Solve for x
    x = 310,283,562,969.36/732,074.10
  6. Step 6: Final answer
    x = 423,841.74

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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.