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Finding the Fourth Proportional to 575,041.98, 793,693.14 and 357,415

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Solution

The fourth proportional to 575,041.98, 793,693.14 and 357,415 is: 493,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,041.98 : 793,693.14 = 357,415 : x
  2. Step 2: Convert to fraction form
    575,041.98/793,693.14 = 357,415/x
  3. Step 3: Cross multiply
    575,041.98x = 793,693.14 × 357,415
  4. Step 4: Simplify right side
    575,041.98x = 283,677,833,633.10
  5. Step 5: Solve for x
    x = 283,677,833,633.10/575,041.98
  6. Step 6: Final answer
    x = 493,316.74

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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.