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Finding the Fourth Proportional to 407,026.46, 610,483.10 and 285,077.63

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Solution

The fourth proportional to 407,026.46, 610,483.10 and 285,077.63 is: 427,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,026.46 : 610,483.10 = 285,077.63 : x
  2. Step 2: Convert to fraction form
    407,026.46/610,483.10 = 285,077.63/x
  3. Step 3: Cross multiply
    407,026.46x = 610,483.10 × 285,077.63
  4. Step 4: Simplify right side
    407,026.46x = 174,035,075,303.05
  5. Step 5: Solve for x
    x = 174,035,075,303.05/407,026.46
  6. Step 6: Final answer
    x = 427,576.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.