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Finding the Fourth Proportional to 472,897.59, 709,341.71 and 216,657.47

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Solution

The fourth proportional to 472,897.59, 709,341.71 and 216,657.47 is: 324,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,897.59 : 709,341.71 = 216,657.47 : x
  2. Step 2: Convert to fraction form
    472,897.59/709,341.71 = 216,657.47/x
  3. Step 3: Cross multiply
    472,897.59x = 709,341.71 × 216,657.47
  4. Step 4: Simplify right side
    472,897.59x = 153,684,180,254.07
  5. Step 5: Solve for x
    x = 153,684,180,254.07/472,897.59
  6. Step 6: Final answer
    x = 324,984.06

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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.