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Finding the Fourth Proportional to 735,486, 1,014,296.76 and 477,093.84

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Solution

The fourth proportional to 735,486, 1,014,296.76 and 477,093.84 is: 657,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,486 : 1,014,296.76 = 477,093.84 : x
  2. Step 2: Convert to fraction form
    735,486/1,014,296.76 = 477,093.84/x
  3. Step 3: Cross multiply
    735,486x = 1,014,296.76 × 477,093.84
  4. Step 4: Simplify right side
    735,486x = 483,914,736,127.96
  5. Step 5: Solve for x
    x = 483,914,736,127.96/735,486
  6. Step 6: Final answer
    x = 657,952.34

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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.