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Finding the Fourth Proportional to 611,368.26, 917,094.53 and 256,024.50

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Solution

The fourth proportional to 611,368.26, 917,094.53 and 256,024.50 is: 384,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,368.26 : 917,094.53 = 256,024.50 : x
  2. Step 2: Convert to fraction form
    611,368.26/917,094.53 = 256,024.50/x
  3. Step 3: Cross multiply
    611,368.26x = 917,094.53 × 256,024.50
  4. Step 4: Simplify right side
    611,368.26x = 234,798,668,495.99
  5. Step 5: Solve for x
    x = 234,798,668,495.99/611,368.26
  6. Step 6: Final answer
    x = 384,054.40

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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.