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Finding the Fourth Proportional to 705,821.64, 973,639.62 and 433,700.52

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Solution

The fourth proportional to 705,821.64, 973,639.62 and 433,700.52 is: 598,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,821.64 : 973,639.62 = 433,700.52 : x
  2. Step 2: Convert to fraction form
    705,821.64/973,639.62 = 433,700.52/x
  3. Step 3: Cross multiply
    705,821.64x = 973,639.62 × 433,700.52
  4. Step 4: Simplify right side
    705,821.64x = 422,268,009,486.60
  5. Step 5: Solve for x
    x = 422,268,009,486.60/705,821.64
  6. Step 6: Final answer
    x = 598,264.47

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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.