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Finding the Fourth Proportional to 705,364.04, 973,805.85 and 464,347.23

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Solution

The fourth proportional to 705,364.04, 973,805.85 and 464,347.23 is: 641,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,364.04 : 973,805.85 = 464,347.23 : x
  2. Step 2: Convert to fraction form
    705,364.04/973,805.85 = 464,347.23/x
  3. Step 3: Cross multiply
    705,364.04x = 973,805.85 × 464,347.23
  4. Step 4: Simplify right side
    705,364.04x = 452,184,049,005.30
  5. Step 5: Solve for x
    x = 452,184,049,005.30/705,364.04
  6. Step 6: Final answer
    x = 641,064.79

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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.