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Finding the Fourth Proportional to 464,510.60, 697,284.30 and 434,054.60

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Solution

The fourth proportional to 464,510.60, 697,284.30 and 434,054.60 is: 651,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,510.60 : 697,284.30 = 434,054.60 : x
  2. Step 2: Convert to fraction form
    464,510.60/697,284.30 = 434,054.60/x
  3. Step 3: Cross multiply
    464,510.60x = 697,284.30 × 434,054.60
  4. Step 4: Simplify right side
    464,510.60x = 302,659,457,922.78
  5. Step 5: Solve for x
    x = 302,659,457,922.78/464,510.60
  6. Step 6: Final answer
    x = 651,566.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.