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Finding the Fourth Proportional to 905,714, 1,249,566.72 and 543,255.20

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Solution

The fourth proportional to 905,714, 1,249,566.72 and 543,255.20 is: 749,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,714 : 1,249,566.72 = 543,255.20 : x
  2. Step 2: Convert to fraction form
    905,714/1,249,566.72 = 543,255.20/x
  3. Step 3: Cross multiply
    905,714x = 1,249,566.72 × 543,255.20
  4. Step 4: Simplify right side
    905,714x = 678,833,618,386.94
  5. Step 5: Solve for x
    x = 678,833,618,386.94/905,714
  6. Step 6: Final answer
    x = 749,501.08

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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.