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Finding the Fourth Proportional to 705,309.19, 973,624.67 and 476,176.86

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Solution

The fourth proportional to 705,309.19, 973,624.67 and 476,176.86 is: 657,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,309.19 : 973,624.67 = 476,176.86 : x
  2. Step 2: Convert to fraction form
    705,309.19/973,624.67 = 476,176.86/x
  3. Step 3: Cross multiply
    705,309.19x = 973,624.67 × 476,176.86
  4. Step 4: Simplify right side
    705,309.19x = 463,617,536,244.67
  5. Step 5: Solve for x
    x = 463,617,536,244.67/705,309.19
  6. Step 6: Final answer
    x = 657,325.24

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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.