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Finding the Fourth Proportional to 446,413.17, 616,053.30 and 242,464.49

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Solution

The fourth proportional to 446,413.17, 616,053.30 and 242,464.49 is: 334,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,413.17 : 616,053.30 = 242,464.49 : x
  2. Step 2: Convert to fraction form
    446,413.17/616,053.30 = 242,464.49/x
  3. Step 3: Cross multiply
    446,413.17x = 616,053.30 × 242,464.49
  4. Step 4: Simplify right side
    446,413.17x = 149,371,047,518.01
  5. Step 5: Solve for x
    x = 149,371,047,518.01/446,413.17
  6. Step 6: Final answer
    x = 334,602.69

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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.