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Finding the Fourth Proportional to 705,463.66, 973,547 and 383,180.06

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Solution

The fourth proportional to 705,463.66, 973,547 and 383,180.06 is: 528,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,463.66 : 973,547 = 383,180.06 : x
  2. Step 2: Convert to fraction form
    705,463.66/973,547 = 383,180.06/x
  3. Step 3: Cross multiply
    705,463.66x = 973,547 × 383,180.06
  4. Step 4: Simplify right side
    705,463.66x = 373,043,797,872.82
  5. Step 5: Solve for x
    x = 373,043,797,872.82/705,463.66
  6. Step 6: Final answer
    x = 528,792.37

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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.