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Finding the Fourth Proportional to 830,668.81, 1,146,323.42 and 448,695.60

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Solution

The fourth proportional to 830,668.81, 1,146,323.42 and 448,695.60 is: 619,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,668.81 : 1,146,323.42 = 448,695.60 : x
  2. Step 2: Convert to fraction form
    830,668.81/1,146,323.42 = 448,695.60/x
  3. Step 3: Cross multiply
    830,668.81x = 1,146,323.42 × 448,695.60
  4. Step 4: Simplify right side
    830,668.81x = 514,350,274,730.95
  5. Step 5: Solve for x
    x = 514,350,274,730.95/830,668.81
  6. Step 6: Final answer
    x = 619,200.18

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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.