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Finding the Fourth Proportional to 287,055.70, 430,495.98 and 230,762.32

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Solution

The fourth proportional to 287,055.70, 430,495.98 and 230,762.32 is: 346,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,055.70 : 430,495.98 = 230,762.32 : x
  2. Step 2: Convert to fraction form
    287,055.70/430,495.98 = 230,762.32/x
  3. Step 3: Cross multiply
    287,055.70x = 430,495.98 × 230,762.32
  4. Step 4: Simplify right side
    287,055.70x = 99,342,251,095.47
  5. Step 5: Solve for x
    x = 99,342,251,095.47/287,055.70
  6. Step 6: Final answer
    x = 346,073.08

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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.