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Finding the Fourth Proportional to 705,698.16, 973,858.17 and 383,410.89

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Solution

The fourth proportional to 705,698.16, 973,858.17 and 383,410.89 is: 529,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,698.16 : 973,858.17 = 383,410.89 : x
  2. Step 2: Convert to fraction form
    705,698.16/973,858.17 = 383,410.89/x
  3. Step 3: Cross multiply
    705,698.16x = 973,858.17 × 383,410.89
  4. Step 4: Simplify right side
    705,698.16x = 373,387,827,693.47
  5. Step 5: Solve for x
    x = 373,387,827,693.47/705,698.16
  6. Step 6: Final answer
    x = 529,104.15

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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.