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Finding the Fourth Proportional to 446,454.87, 616,114.35 and 242,509.77

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Solution

The fourth proportional to 446,454.87, 616,114.35 and 242,509.77 is: 334,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,454.87 : 616,114.35 = 242,509.77 : x
  2. Step 2: Convert to fraction form
    446,454.87/616,114.35 = 242,509.77/x
  3. Step 3: Cross multiply
    446,454.87x = 616,114.35 × 242,509.77
  4. Step 4: Simplify right side
    446,454.87x = 149,413,749,312.20
  5. Step 5: Solve for x
    x = 149,413,749,312.20/446,454.87
  6. Step 6: Final answer
    x = 334,667.08

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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.