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Finding the Fourth Proportional to 869,406, 1,199,783.52 and 507,080.04

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Solution

The fourth proportional to 869,406, 1,199,783.52 and 507,080.04 is: 699,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,406 : 1,199,783.52 = 507,080.04 : x
  2. Step 2: Convert to fraction form
    869,406/1,199,783.52 = 507,080.04/x
  3. Step 3: Cross multiply
    869,406x = 1,199,783.52 × 507,080.04
  4. Step 4: Simplify right side
    869,406x = 608,386,275,312.94
  5. Step 5: Solve for x
    x = 608,386,275,312.94/869,406
  6. Step 6: Final answer
    x = 699,772.34

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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.