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Finding the Fourth Proportional to 584,703.83, 807,665.66 and 470,413.02

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Solution

The fourth proportional to 584,703.83, 807,665.66 and 470,413.02 is: 649,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,703.83 : 807,665.66 = 470,413.02 : x
  2. Step 2: Convert to fraction form
    584,703.83/807,665.66 = 470,413.02/x
  3. Step 3: Cross multiply
    584,703.83x = 807,665.66 × 470,413.02
  4. Step 4: Simplify right side
    584,703.83x = 379,936,439,918.83
  5. Step 5: Solve for x
    x = 379,936,439,918.83/584,703.83
  6. Step 6: Final answer
    x = 649,792.98

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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.