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Finding the Fourth Proportional to 705,410, 973,472.94 and 383,126.40

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Solution

The fourth proportional to 705,410, 973,472.94 and 383,126.40 is: 528,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,410 : 973,472.94 = 383,126.40 : x
  2. Step 2: Convert to fraction form
    705,410/973,472.94 = 383,126.40/x
  3. Step 3: Cross multiply
    705,410x = 973,472.94 × 383,126.40
  4. Step 4: Simplify right side
    705,410x = 372,963,182,999.62
  5. Step 5: Solve for x
    x = 372,963,182,999.62/705,410
  6. Step 6: Final answer
    x = 528,718.31

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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.