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Finding the Fourth Proportional to 706,461.08, 974,573.51 and 419,778.18

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Solution

The fourth proportional to 706,461.08, 974,573.51 and 419,778.18 is: 579,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,461.08 : 974,573.51 = 419,778.18 : x
  2. Step 2: Convert to fraction form
    706,461.08/974,573.51 = 419,778.18/x
  3. Step 3: Cross multiply
    706,461.08x = 974,573.51 × 419,778.18
  4. Step 4: Simplify right side
    706,461.08x = 409,104,692,205.12
  5. Step 5: Solve for x
    x = 409,104,692,205.12/706,461.08
  6. Step 6: Final answer
    x = 579,090.21

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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.