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Finding the Fourth Proportional to 601,459.58, 830,014.20 and 329,537.78

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Solution

The fourth proportional to 601,459.58, 830,014.20 and 329,537.78 is: 454,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,459.58 : 830,014.20 = 329,537.78 : x
  2. Step 2: Convert to fraction form
    601,459.58/830,014.20 = 329,537.78/x
  3. Step 3: Cross multiply
    601,459.58x = 830,014.20 × 329,537.78
  4. Step 4: Simplify right side
    601,459.58x = 273,521,038,911.51
  5. Step 5: Solve for x
    x = 273,521,038,911.51/601,459.58
  6. Step 6: Final answer
    x = 454,762.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.