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Finding the Fourth Proportional to 423,482.16, 584,413.60 and 242,223.60

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Solution

The fourth proportional to 423,482.16, 584,413.60 and 242,223.60 is: 334,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,482.16 : 584,413.60 = 242,223.60 : x
  2. Step 2: Convert to fraction form
    423,482.16/584,413.60 = 242,223.60/x
  3. Step 3: Cross multiply
    423,482.16x = 584,413.60 × 242,223.60
  4. Step 4: Simplify right side
    423,482.16x = 141,558,766,080.96
  5. Step 5: Solve for x
    x = 141,558,766,080.96/423,482.16
  6. Step 6: Final answer
    x = 334,273.27

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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.