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Finding the Fourth Proportional to 705,004.95, 972,804.19 and 403,140.63

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Solution

The fourth proportional to 705,004.95, 972,804.19 and 403,140.63 is: 556,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,004.95 : 972,804.19 = 403,140.63 : x
  2. Step 2: Convert to fraction form
    705,004.95/972,804.19 = 403,140.63/x
  3. Step 3: Cross multiply
    705,004.95x = 972,804.19 × 403,140.63
  4. Step 4: Simplify right side
    705,004.95x = 392,176,894,023.24
  5. Step 5: Solve for x
    x = 392,176,894,023.24/705,004.95
  6. Step 6: Final answer
    x = 556,275.38

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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.