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Finding the Fourth Proportional to 704,055.36, 971,341.80 and 462,468

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Solution

The fourth proportional to 704,055.36, 971,341.80 and 462,468 is: 638,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,055.36 : 971,341.80 = 462,468 : x
  2. Step 2: Convert to fraction form
    704,055.36/971,341.80 = 462,468/x
  3. Step 3: Cross multiply
    704,055.36x = 971,341.80 × 462,468
  4. Step 4: Simplify right side
    704,055.36x = 449,214,499,562.40
  5. Step 5: Solve for x
    x = 449,214,499,562.40/704,055.36
  6. Step 6: Final answer
    x = 638,038.60

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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.