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Finding the Fourth Proportional to 549,413.47, 822,643.68 and 348,646.87

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Solution

The fourth proportional to 549,413.47, 822,643.68 and 348,646.87 is: 522,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,413.47 : 822,643.68 = 348,646.87 : x
  2. Step 2: Convert to fraction form
    549,413.47/822,643.68 = 348,646.87/x
  3. Step 3: Cross multiply
    549,413.47x = 822,643.68 × 348,646.87
  4. Step 4: Simplify right side
    549,413.47x = 286,812,144,157.28
  5. Step 5: Solve for x
    x = 286,812,144,157.28/549,413.47
  6. Step 6: Final answer
    x = 522,033.33

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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.