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Finding the Fourth Proportional to 713,413.24, 984,518.28 and 407,530.12

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Solution

The fourth proportional to 713,413.24, 984,518.28 and 407,530.12 is: 562,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,413.24 : 984,518.28 = 407,530.12 : x
  2. Step 2: Convert to fraction form
    713,413.24/984,518.28 = 407,530.12/x
  3. Step 3: Cross multiply
    713,413.24x = 984,518.28 × 407,530.12
  4. Step 4: Simplify right side
    713,413.24x = 401,220,852,790.59
  5. Step 5: Solve for x
    x = 401,220,852,790.59/713,413.24
  6. Step 6: Final answer
    x = 562,396.14

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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.