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Finding the Fourth Proportional to 473,460.40, 710,290.34 and 153,587.29

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Solution

The fourth proportional to 473,460.40, 710,290.34 and 153,587.29 is: 230,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,460.40 : 710,290.34 = 153,587.29 : x
  2. Step 2: Convert to fraction form
    473,460.40/710,290.34 = 153,587.29/x
  3. Step 3: Cross multiply
    473,460.40x = 710,290.34 × 153,587.29
  4. Step 4: Simplify right side
    473,460.40x = 109,091,567,665.84
  5. Step 5: Solve for x
    x = 109,091,567,665.84/473,460.40
  6. Step 6: Final answer
    x = 230,413.29

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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.