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Finding the Fourth Proportional to 706,482.54, 974,602.98 and 419,799.60

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Solution

The fourth proportional to 706,482.54, 974,602.98 and 419,799.60 is: 579,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,482.54 : 974,602.98 = 419,799.60 : x
  2. Step 2: Convert to fraction form
    706,482.54/974,602.98 = 419,799.60/x
  3. Step 3: Cross multiply
    706,482.54x = 974,602.98 × 419,799.60
  4. Step 4: Simplify right side
    706,482.54x = 409,137,941,162.81
  5. Step 5: Solve for x
    x = 409,137,941,162.81/706,482.54
  6. Step 6: Final answer
    x = 579,119.68

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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.