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Finding the Fourth Proportional to 705,803.60, 973,899.28 and 419,316.32

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Solution

The fourth proportional to 705,803.60, 973,899.28 and 419,316.32 is: 578,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,803.60 : 973,899.28 = 419,316.32 : x
  2. Step 2: Convert to fraction form
    705,803.60/973,899.28 = 419,316.32/x
  3. Step 3: Cross multiply
    705,803.60x = 973,899.28 × 419,316.32
  4. Step 4: Simplify right side
    705,803.60x = 408,371,862,140.25
  5. Step 5: Solve for x
    x = 408,371,862,140.25/705,803.60
  6. Step 6: Final answer
    x = 578,591.36

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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.