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Finding the Fourth Proportional to 601,453, 830,005.14 and 359,745.76

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Solution

The fourth proportional to 601,453, 830,005.14 and 359,745.76 is: 496,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,453 : 830,005.14 = 359,745.76 : x
  2. Step 2: Convert to fraction form
    601,453/830,005.14 = 359,745.76/x
  3. Step 3: Cross multiply
    601,453x = 830,005.14 × 359,745.76
  4. Step 4: Simplify right side
    601,453x = 298,590,829,893.21
  5. Step 5: Solve for x
    x = 298,590,829,893.21/601,453
  6. Step 6: Final answer
    x = 496,449.15

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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.