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Finding the Fourth Proportional to 476,035.47, 714,055.64 and 160,495.11

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Solution

The fourth proportional to 476,035.47, 714,055.64 and 160,495.11 is: 240,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,035.47 : 714,055.64 = 160,495.11 : x
  2. Step 2: Convert to fraction form
    476,035.47/714,055.64 = 160,495.11/x
  3. Step 3: Cross multiply
    476,035.47x = 714,055.64 × 160,495.11
  4. Step 4: Simplify right side
    476,035.47x = 114,602,437,685.45
  5. Step 5: Solve for x
    x = 114,602,437,685.45/476,035.47
  6. Step 6: Final answer
    x = 240,743.48

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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.