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Finding the Fourth Proportional to 706,153.08, 974,254.07 and 400,205.45

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Solution

The fourth proportional to 706,153.08, 974,254.07 and 400,205.45 is: 552,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,153.08 : 974,254.07 = 400,205.45 : x
  2. Step 2: Convert to fraction form
    706,153.08/974,254.07 = 400,205.45/x
  3. Step 3: Cross multiply
    706,153.08x = 974,254.07 × 400,205.45
  4. Step 4: Simplify right side
    706,153.08x = 389,901,788,498.68
  5. Step 5: Solve for x
    x = 389,901,788,498.68/706,153.08
  6. Step 6: Final answer
    x = 552,149.10

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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.