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Finding the Fourth Proportional to 430,746.64, 594,430.38 and 239,755.93

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Solution

The fourth proportional to 430,746.64, 594,430.38 and 239,755.93 is: 330,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,746.64 : 594,430.38 = 239,755.93 : x
  2. Step 2: Convert to fraction form
    430,746.64/594,430.38 = 239,755.93/x
  3. Step 3: Cross multiply
    430,746.64x = 594,430.38 × 239,755.93
  4. Step 4: Simplify right side
    430,746.64x = 142,518,208,577.15
  5. Step 5: Solve for x
    x = 142,518,208,577.15/430,746.64
  6. Step 6: Final answer
    x = 330,863.19

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Why These Related Problems?

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