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Finding the Fourth Proportional to 477,411.70, 716,117.55 and 470,413.30

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Solution

The fourth proportional to 477,411.70, 716,117.55 and 470,413.30 is: 705,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,411.70 : 716,117.55 = 470,413.30 : x
  2. Step 2: Convert to fraction form
    477,411.70/716,117.55 = 470,413.30/x
  3. Step 3: Cross multiply
    477,411.70x = 716,117.55 × 470,413.30
  4. Step 4: Simplify right side
    477,411.70x = 336,871,219,883.42
  5. Step 5: Solve for x
    x = 336,871,219,883.42/477,411.70
  6. Step 6: Final answer
    x = 705,619.95

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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.