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Finding the Fourth Proportional to 707,113.40, 975,921.62 and 416,632.28

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Solution

The fourth proportional to 707,113.40, 975,921.62 and 416,632.28 is: 575,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,113.40 : 975,921.62 = 416,632.28 : x
  2. Step 2: Convert to fraction form
    707,113.40/975,921.62 = 416,632.28/x
  3. Step 3: Cross multiply
    707,113.40x = 975,921.62 × 416,632.28
  4. Step 4: Simplify right side
    707,113.40x = 406,600,442,679.12
  5. Step 5: Solve for x
    x = 406,600,442,679.12/707,113.40
  6. Step 6: Final answer
    x = 575,014.48

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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.