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Finding the Fourth Proportional to 710,514.60, 1,064,864.70 and 289,314.60

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Solution

The fourth proportional to 710,514.60, 1,064,864.70 and 289,314.60 is: 433,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,514.60 : 1,064,864.70 = 289,314.60 : x
  2. Step 2: Convert to fraction form
    710,514.60/1,064,864.70 = 289,314.60/x
  3. Step 3: Cross multiply
    710,514.60x = 1,064,864.70 × 289,314.60
  4. Step 4: Simplify right side
    710,514.60x = 308,080,904,734.62
  5. Step 5: Solve for x
    x = 308,080,904,734.62/710,514.60
  6. Step 6: Final answer
    x = 433,602.50

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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.