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Finding the Fourth Proportional to 707,214.12, 975,875.58 and 416,806.80

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Solution

The fourth proportional to 707,214.12, 975,875.58 and 416,806.80 is: 575,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,214.12 : 975,875.58 = 416,806.80 : x
  2. Step 2: Convert to fraction form
    707,214.12/975,875.58 = 416,806.80/x
  3. Step 3: Cross multiply
    707,214.12x = 975,875.58 × 416,806.80
  4. Step 4: Simplify right side
    707,214.12x = 406,751,577,697.94
  5. Step 5: Solve for x
    x = 406,751,577,697.94/707,214.12
  6. Step 6: Final answer
    x = 575,146.29

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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.