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Finding the Fourth Proportional to 705,772.30, 973,971.71 and 383,482.40

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Solution

The fourth proportional to 705,772.30, 973,971.71 and 383,482.40 is: 529,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,772.30 : 973,971.71 = 383,482.40 : x
  2. Step 2: Convert to fraction form
    705,772.30/973,971.71 = 383,482.40/x
  3. Step 3: Cross multiply
    705,772.30x = 973,971.71 × 383,482.40
  4. Step 4: Simplify right side
    705,772.30x = 373,501,002,095.63
  5. Step 5: Solve for x
    x = 373,501,002,095.63/705,772.30
  6. Step 6: Final answer
    x = 529,208.93

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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.