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Finding the Fourth Proportional to 705,406.95, 973,758.84 and 476,274.28

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Solution

The fourth proportional to 705,406.95, 973,758.84 and 476,274.28 is: 657,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,406.95 : 973,758.84 = 476,274.28 : x
  2. Step 2: Convert to fraction form
    705,406.95/973,758.84 = 476,274.28/x
  3. Step 3: Cross multiply
    705,406.95x = 973,758.84 × 476,274.28
  4. Step 4: Simplify right side
    705,406.95x = 463,776,289,299.88
  5. Step 5: Solve for x
    x = 463,776,289,299.88/705,406.95
  6. Step 6: Final answer
    x = 657,459.20

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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.