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Finding the Fourth Proportional to 403,197.90, 556,413.16 and 219,437.16

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Solution

The fourth proportional to 403,197.90, 556,413.16 and 219,437.16 is: 302,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,197.90 : 556,413.16 = 219,437.16 : x
  2. Step 2: Convert to fraction form
    403,197.90/556,413.16 = 219,437.16/x
  3. Step 3: Cross multiply
    403,197.90x = 556,413.16 × 219,437.16
  4. Step 4: Simplify right side
    403,197.90x = 122,097,725,614.19
  5. Step 5: Solve for x
    x = 122,097,725,614.19/403,197.90
  6. Step 6: Final answer
    x = 302,823.32

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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.