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Finding the Fourth Proportional to 656,160, 905,241.60 and 414,352.32

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Solution

The fourth proportional to 656,160, 905,241.60 and 414,352.32 is: 571,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,160 : 905,241.60 = 414,352.32 : x
  2. Step 2: Convert to fraction form
    656,160/905,241.60 = 414,352.32/x
  3. Step 3: Cross multiply
    656,160x = 905,241.60 × 414,352.32
  4. Step 4: Simplify right side
    656,160x = 375,088,957,120.51
  5. Step 5: Solve for x
    x = 375,088,957,120.51/656,160
  6. Step 6: Final answer
    x = 571,642.52

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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.