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Finding the Fourth Proportional to 569,009.96, 785,222.34 and 314,354.60

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Solution

The fourth proportional to 569,009.96, 785,222.34 and 314,354.60 is: 433,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,009.96 : 785,222.34 = 314,354.60 : x
  2. Step 2: Convert to fraction form
    569,009.96/785,222.34 = 314,354.60/x
  3. Step 3: Cross multiply
    569,009.96x = 785,222.34 × 314,354.60
  4. Step 4: Simplify right side
    569,009.96x = 246,838,254,601.76
  5. Step 5: Solve for x
    x = 246,838,254,601.76/569,009.96
  6. Step 6: Final answer
    x = 433,803.05

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1.5x scale

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.