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Finding the Fourth Proportional to 429,413.40, 602,008.20 and 429,413.40

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Solution

The fourth proportional to 429,413.40, 602,008.20 and 429,413.40 is: 602,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,413.40 : 602,008.20 = 429,413.40 : x
  2. Step 2: Convert to fraction form
    429,413.40/602,008.20 = 429,413.40/x
  3. Step 3: Cross multiply
    429,413.40x = 602,008.20 × 429,413.40
  4. Step 4: Simplify right side
    429,413.40x = 258,510,387,989.88
  5. Step 5: Solve for x
    x = 258,510,387,989.88/429,413.40
  6. Step 6: Final answer
    x = 602,008.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.