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Finding the Fourth Proportional to 567,802.90, 852,032.40 and 212,852.80

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Solution

The fourth proportional to 567,802.90, 852,032.40 and 212,852.80 is: 319,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,802.90 : 852,032.40 = 212,852.80 : x
  2. Step 2: Convert to fraction form
    567,802.90/852,032.40 = 212,852.80/x
  3. Step 3: Cross multiply
    567,802.90x = 852,032.40 × 212,852.80
  4. Step 4: Simplify right side
    567,802.90x = 181,357,482,030.72
  5. Step 5: Solve for x
    x = 181,357,482,030.72/567,802.90
  6. Step 6: Final answer
    x = 319,402.18

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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.