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Finding the Fourth Proportional to 705,153, 971,368.06 and 601,449.36

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Solution

The fourth proportional to 705,153, 971,368.06 and 601,449.36 is: 828,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,153 : 971,368.06 = 601,449.36 : x
  2. Step 2: Convert to fraction form
    705,153/971,368.06 = 601,449.36/x
  3. Step 3: Cross multiply
    705,153x = 971,368.06 × 601,449.36
  4. Step 4: Simplify right side
    705,153x = 584,228,698,011.44
  5. Step 5: Solve for x
    x = 584,228,698,011.44/705,153
  6. Step 6: Final answer
    x = 828,513.38

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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.