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Finding the Fourth Proportional to 601,998, 830,886.84 and 360,334.50

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Solution

The fourth proportional to 601,998, 830,886.84 and 360,334.50 is: 497,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,998 : 830,886.84 = 360,334.50 : x
  2. Step 2: Convert to fraction form
    601,998/830,886.84 = 360,334.50/x
  3. Step 3: Cross multiply
    601,998x = 830,886.84 × 360,334.50
  4. Step 4: Simplify right side
    601,998x = 299,397,194,047.98
  5. Step 5: Solve for x
    x = 299,397,194,047.98/601,998
  6. Step 6: Final answer
    x = 497,339.18

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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.