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Finding the Fourth Proportional to 706,075.98, 974,854.07 and 542,441.06

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Solution

The fourth proportional to 706,075.98, 974,854.07 and 542,441.06 is: 748,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,075.98 : 974,854.07 = 542,441.06 : x
  2. Step 2: Convert to fraction form
    706,075.98/974,854.07 = 542,441.06/x
  3. Step 3: Cross multiply
    706,075.98x = 974,854.07 × 542,441.06
  4. Step 4: Simplify right side
    706,075.98x = 528,800,878,869.35
  5. Step 5: Solve for x
    x = 528,800,878,869.35/706,075.98
  6. Step 6: Final answer
    x = 748,929.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.