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Finding the Fourth Proportional to 654,106.80, 902,675.52 and 395,980.32

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Solution

The fourth proportional to 654,106.80, 902,675.52 and 395,980.32 is: 546,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,106.80 : 902,675.52 = 395,980.32 : x
  2. Step 2: Convert to fraction form
    654,106.80/902,675.52 = 395,980.32/x
  3. Step 3: Cross multiply
    654,106.80x = 902,675.52 × 395,980.32
  4. Step 4: Simplify right side
    654,106.80x = 357,441,741,265.77
  5. Step 5: Solve for x
    x = 357,441,741,265.77/654,106.80
  6. Step 6: Final answer
    x = 546,457.77

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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.