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Finding the Fourth Proportional to 407,415.20, 612,044.40 and 282,999.20

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Solution

The fourth proportional to 407,415.20, 612,044.40 and 282,999.20 is: 425,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,415.20 : 612,044.40 = 282,999.20 : x
  2. Step 2: Convert to fraction form
    407,415.20/612,044.40 = 282,999.20/x
  3. Step 3: Cross multiply
    407,415.20x = 612,044.40 × 282,999.20
  4. Step 4: Simplify right side
    407,415.20x = 173,208,075,564.48
  5. Step 5: Solve for x
    x = 173,208,075,564.48/407,415.20
  6. Step 6: Final answer
    x = 425,138.96

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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.