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Finding the Fourth Proportional to 517,323.40, 771,416.45 and 454,400.98

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Solution

The fourth proportional to 517,323.40, 771,416.45 and 454,400.98 is: 677,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,323.40 : 771,416.45 = 454,400.98 : x
  2. Step 2: Convert to fraction form
    517,323.40/771,416.45 = 454,400.98/x
  3. Step 3: Cross multiply
    517,323.40x = 771,416.45 × 454,400.98
  4. Step 4: Simplify right side
    517,323.40x = 350,532,390,868.12
  5. Step 5: Solve for x
    x = 350,532,390,868.12/517,323.40
  6. Step 6: Final answer
    x = 677,588.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.